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Finding Square Root through Prime Factorisation

Find the squa...

Question

Find the square roots of the given number by Prime factorization method: 4096

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Solution

$Prime factors of 4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
$\sqrt{4096}$ $= 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$

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