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How to evaluate cube root from given volume and square root from given area?

User YAKOVM
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2 Answers

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Prime factorize.
To find square root for 36,
36=2*2*3*3
Square root of 36=2*3=6

216= 2*2*2*3*3*3
Cube root of 216=2*3=6
User Valeriy Solovyov
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6 votes

Explanation:

Say the volume is 8

=> ³√8

The power of cube root is 1/3 ,

=> 8^(1/3)

=> 2^(3*1/3)

=> 2¹

=> 2

Say area is 4 ,

=> ²√4 or √4

Power of sqaure root is 1/2 ,

=> 4^(1/2)

=> 2^(2*1/2)

=> 2¹

=> 2

User Chatlanin
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2.9k points