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Number of Factors of a Numbers

Find the squa...

Question

Find the square root of:

(8) 11025

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Solution

Prime factorisation of 11025:

$\begin{matrix} 5 & 11025 \\ 5 & 2205 \\ 3 & 441 \\ 3 & 147 \\ 7 & 49 \\ 7 & 7 \\ 1 \end{matrix}$

= 5 × 5 × 3 × 3 × 7 × 7
= (5 × 3 × 7)²

∴ Square root of 11025 = 5 × 3 × 7 = 105

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