Question 4 (vi)
Find the square roots of the following numbers by the Prime Factorizationmethod:

9604

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Solution

9604

$\begin{matrix} 2 & 9604 2 & 4802 7 & 2401 7 & 343 7 & 49 7 & 7 1 \end{matrix}$

$\Rightarrow \sqrt{9604} = \sqrt{2 \times 2 \times 7 \times 7 \times 7 \times 7} = 2 \times 7 \times 7 = 98$

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