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Number of Factors of a Numbers

Find the squa...

Question

Find the square root of:

(9) 14641

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Solution

Prime factorisation of 14641:

$\begin{matrix} 11 & 14641 \\ 11 & 1331 \\ 11 & 121 \\ 11 & 11 \\ 1 \end{matrix}$

= 11 × 11 × 11 × 11
= (11 × 11)²

∴ Square root of 14641 = 11 × 11 = 121

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