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100 POINTS! URGENT PLZ HELP

Select the correct answer. What is the simplified form of 4x√5-2π√5/3√5

100 POINTS! URGENT PLZ HELP Select the correct answer. What is the simplified form-example-1

2 Answers

7 votes

option A.

Explanation:

we have


(4\pi √(5) - 2\pi √(5) )/(3 √(5) )

taking out 2
\pi√(5) common from the numerator


(2\pi √(5)(2 - 1) )/(3 √(5) )

canceling
√(5) from both numerator and denominator


(2\pi(1))/(3)

hence the answer is option A.

User Cole Campbell
by
5.0k points
9 votes

Answer:-


\pink{\bigstar} Simplified form
\large\leadsto\boxed{\tt\purple{(2 \pi)/(3)}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Given:-


  • \sf (4 \pi √(5) - 2 \pi √(5))/(3 √(5))

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To Find:-

  • Simplified form

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀


\sf (4 \pi √(5) - 2 \pi √(5))/(3 √(5))

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀


\sf (2 \pi √(5))/(3 √(5))

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\sf (√(5) (2 \pi))/(√(5) (3))

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀


\sf \frac{\cancel{√(5)}(2 \pi)}{\cancel{√(5)} (3)}

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\bold\red{(2 \pi)/(3)}

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Therefore, Option A is the correct choice.

User Mark McGinty
by
5.2k points
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