Find the square root of 1024.

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Solution

$1024 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{2} \times 2^{2} \times 2^{2} \times 2^{2} \times 2^{2} \Rightarrow \sqrt{(1024)} = \sqrt{(2^{2} \times 2^{2} \times 2^{2} \times 2^{2} \times 2^{2})} = 2 \times 2 \times 2 \times 2 \times 2 = 32$

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