Question

Q.9 Find the cube root of 512 by the Prime Factorisation Method.​

Answer 1

Answer:

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Step-by-step explanation:

Cube root of 512, 3√512 = 8

Say, 'n' is the value obtained from 3√512, then n × n × n = n3 = 512 (as per the definition of cube). Since 512 is a perfect cube, we will use here the prime factorisation method, to get the cube root easily.

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Answer 2

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By prime factorisation method , We get:-

512 = 2x2x2x2x2x2x2x2x2

Make them in groups:

512➡ (2x2x2)x(2x2x2)x(2x2x2)

= 8x8x8

Hence the cube root of 512 is 8.