Question

find the sq root of 41616 by prime factorisation

Answer 1

Write the prime factors of 41616

41616 = 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 = 2² × 2² × 3² × 17²

Now take square root of each numbers

$\sqrt{2 {}^{2} × 2 {}^{2} × 3 {}^{2} × 17 {}^{2} } = 2 \times 2 \times 3 \times 17 = 204$

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Answer 2

I hope this will help you