Find the square roots of the following number by the Prime Factorization method:

1764

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Solution

1764

$\sqrt{1764} = \sqrt{2 \times 2 \times 3 \times 3 \times 7 \times 7} = 2 \times 3 \times 7 = 42 \begin{matrix} 2 & 1764 2 & 882 3 & 441 3 & 147 7 & 49 7 & 7 1 \end{matrix}$

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