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Question

Find the cube root of $$512$$ by prime factorisation method:

A
8
Solution
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Correct option is A. 8
Resolving $$512$$ into prime factors, we get
$$512=\underline {2\times 2\times 2}\times \underline {2\times 2\times 2}\times \underline {2\times 2\times 2}$$
$$\therefore \sqrt [3]{512}=(2\times 2\times 2)=8$$

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