Rationalize the denominator 1/ (5-2√3)​

Answers

Answer 1
Explanation :-

At first, we have to multiply the numerator and the denominator and the denominator's inverse such that (a-b)(a+b) = a² - b² is formed in the denominator.

Denominator = 5-2√3Rationalizing factor = 5 + 2√3

[tex]\qquad[/tex]_________________________

[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]

[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]

[tex]\qquad[/tex]_________________________

Answer 2

Answer is 2/(5+√13)

Rationalize the denominator 1/ (5-2√3)


Related Questions

There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

Answers

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:

-11 + 9b² = 25

If you can help me I will be very grateful!

Answers

Answer:

b=4

Step-by-step explanation:

-11+9b^2=25

add 11 to both sides

9b^2=36

divide both sides by 9

b^2=4

take the square root of both sides

b=4

Need help Please due soon help I beg

Answers

Answer:

the variables mean (1)

Step-by-step explanation:

you need to divide

Answer:

equals y<5?

Step-by-step explanation:

i dont think this will help but i hope it does help

Find the value of f(7).
y = f(x)

Answers

-1 should be your answer. It is where the parabola intersects when x=7

A jacket's REGULAR price is $65.00. It is on clearance for 40% off. you have to pay 5% sales tax What is the final price for the jacket. Please show how to calculate the 5% sales tax thoroughly.

Answers

Answer:

circle tttdonuts

Step-by-step explanation:

d crystal

a water truck is filling a swimming pool

Answers

Give more clear information please

the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price

can someone please awnser this right away

Answers

Answer:

[tex]25 \times \frac{60}{100} = 15[/tex]

Step-by-step explanation:

Multiply 25 by 60%

Kieran buys a car for $8000 The following year he sells the car for $7500​

Answers

Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500

Loss :

= $ 8.000 – $7.500

= $ 500

then Loss is $500

#FromIndonesia

PT. 5 OF MY HW!!! ITS UNIT RATE!!!​

Answers

Answer: The second pool is filled at a faster rate (3,600 gal/h) than the first pool (1,300 gal/h)

Step-by-step explanation:

can anyone please help?​

Answers

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.

Answers

Answer:

105t1

Step-by-step explanation:

por qué los sumas te da


What is the full length of the segment?

Answers

Answer:

2

Step-by-step explanation:

if the angle of the two triangles are the same,

6 is 2/3 of nine

Therefore,

2/3x3=2

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Explanation :-

We are given that the length of the frame is 5 inch and breadth of the frame is 8 inch. And Miguel glues a ribbon border around the edges of the frame. We have to find –the total length of ribbon Miguel uses.

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

Length of the frame is = 5 inchBreadth of the frame is = 8 inch

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Henceforth, perimeter of the frame is 26 inch.

Therefore,

Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

X + y = 3
X + y = -3

Answers

Answer:

no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk

no solution. hope this helped :)

Solve for the positive value of x: 2x² = 50

Answers

Answer:

x=5

Step-by-step explanation:

i believe that it is x=5

I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2

Can someone please help 25 points for this one

Answers

Answer:

im not sureee

Step-by-step explanation:

srry

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.

Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.

Answers

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

9=[tex]9=\frac{2-4t}{t+3}[/tex]

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Can someone please help me with these 2 problems I’ve been stuck on them for awhile :’) tysm!

Answers

Answer:

48. 95,400 mL

50a. 331 yds.

50b. 11,916 in.

Step-by-step explanation:

Some helpful conversions can solve this for you :)

1 liter = 1000 mL

1 yard = 3 feet

1 feet = 12 inches

Now we get started!

48. We have 95.4 Liters, multiply by 1000 because 1000 mL per Liter. Therefore it's 95,400.

50

a. 3 feet per yard, so 993 feet divided by 3 is 331 yards.

b. 12 inches per foot, so 993 feet multiplied by  12 is 11,916

pleeeeeeeease help meeeee

Answers

Answer:

45

Step-by-step explanation:

First, we have to find the Nth term of this sequence. Since this is linear we can just find the difference to get the n. For example, we can do 3-2 which is one and we can also do 5-4 which is also 1 which confirms that the n is 1. So in other words, 1n However, we don't write the 1 in front of the n because the n itself represents 1n. Next, we have to take away 1 from the first term, which also gives us 1. This is the adjustment to the 1n. So our answer is n+1, which is the nth term for this linear sequence. So now we just substitute 44 into the equation. 44+1=45, which is the 44th term.

The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?

Answers

Answer:

I have no any ideas

Step-by-step explanation:

sorry

HELP PLZZ! DUE IN 15 MIN!

Answers

Answer:The chance of getting a 5 or 6 in the next turn is about 40%.Step-by-step explanation:=> (5 + 3) ÷ (3 + 3 + 0 + 6 + 3 + 5)=> 8 ÷ 20=> 8/20=> 4/10=> 0.40=> 0.40 x 100=> 40%Conclusion:

Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.

Hoped this helped

[tex]BrainiacUser1357[/tex]

after riding a bike 9 miles,Alex’s total time was 40 1/2 minutes. Find his time per mile.

Answers

40.5/9= 4.5 minutes per mile.

The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

Can someone plz help me?

Answers

Answer:

d

Step-by-step explanation:

I got it right on my quiz

can i get some help? :') I dont know what im doing

Answers

The chart I've attached is very helpful for these types of problems!

A 270 degree rotation clockwise is (-y, x).

X = 3

Y = -2

V' = (2, 3)

Hope this helps! :)

The perimeter of a square rug is 104 cm. What is the area of the rug?

Answers

Answer

Area of the rug is 64 in^2

Answer:

676 cm²

Step-by-step explanation:

A square has 4 congruent sides , then

104 ÷ 4 = 26 cm ← length of side of square s

The area (A) of a square is calculated as

A = s² = 26² = 676 cm²

Solve the inequality.

Answers

Answer:

x [tex]\leq[/tex] -3

Step-by-step explanation:

Make common denominators

[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]

Use the numerators only

2x - (3x - 3) [tex]\geq[/tex] 6

Distribute

2x - 3x + 3 [tex]\geq[/tex] 6

-x + 3 [tex]\geq[/tex] 6

Subtract 3 from both sides

-x [tex]\geq[/tex] 3

x [tex]\leq[/tex] -3

Other Questions
Match each energy source with the correct disadvantage.1. carbon dioxide emissions cause global warmingcoal2. drilling destroys habitats and ecosystemshydroelectric power3. dams prevent salmon from swimming upstreamnuclear power4. radioactive waste is dangerous to all living organismsoilI WILL MARK YOU BRAINLYSSSSS Western civilization includes which of the following countries? peru mexico south africa united states of america india russia brazil canada france china. the part of the brain that coordinates the movement of skeletal muscles Read the following excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde. How could the presence of these articles in my house affect either the honour, the sanity, or the life of my flighty colleague? If his messenger could go to one place, why could he not go to another? And even granting some impediment, why was this gentleman to be received by me in secret? The more I reflected the more convinced I grew that I was dealing with a case of cerebral disease. . . The point of view in the excerpt allows the reader to know Hydes thoughts directly. Predict an action that Hyde will take. Know Lanyons thoughts directly. Learn something that Lanyon does not know. Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6 A 3-gallon jug of water costs $16.80. What is the price per cup? udulent sale1. A wave that is created as a result of vibrations between an electricfield and magnetic field. I could have sworn MY EARS WERE BURNING this morning. Find the correct answer that describes the true meaning of the idiom explain how the structure and the function of squamous epithelium in the lung are important for gas exchange(4 marks) Heres the question:Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y = Im stumped. Can you help me find the answer along with an explanation? Thanks. How does the setting influence plot in the text? A. It is where an important character lives. B. It is where a rare type of horse is found. C. It is where the soldiers barracks are located. D. It is where a well-known jail is located. read paragraphs 10 and 11 of Scene 5 of this act. (a) Interpret Whatdoes Mr. Frank mean when he says Anne puts him to shame?(b) Compare and Contrast What contrast is he making between hispersonality and Anne's? (C) Speculate if Anne had survived the war, doyou think she would still have made the same statement about people'sbasic goodness? Why or why not? What does montresor tell his servants Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs models the situation? please help me !! ill mark brainliest if youre right! Characterize Tom Robinson. Explain using evidence from the chapter, to support your traits. Which of these choices is a metaphor? A. Nerve impulses generated in the body. B. It is positioned at the top of the spinal cord. C. The brainstem is just below the cerebellum. D. The brainstem is the crossroads of the brain. Which graph best represents the equation x2 + (y 1)2 = 3? Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks? 2 years,18 month.express the first quantity as a percentage of the second quantity