Question

Find the square roots of the following numbers by Prime factorization method.(i) 441
(ii) 784
(iii) 4096
(iv) 7056

Answer 1

$\text {(i) }\sqrt{441} = \sqrt{3^2 \times 7^2} = 3 \times 7 = 21$

$\text {(ii) }\sqrt{784} = \sqrt{2^4 \times 7^2} = 2^2 \times 7 = 28$

$\text {(iii) }\sqrt{4096} = \sqrt{2^{12} } = 2^6 = 64$

$\text {(iv) }\sqrt{7056} = \sqrt{2^2 \times 3^2 \times 7^2} = 2^2 \times 3 \times 7 = 84$

Answer 2

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