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Question

Find the square root of 1296 by prime factorisation.

A
34
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B
36
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C
26
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D
64
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Solution

The correct option is B 36
The given number is 1296. Lets do prime factorisation,

\begin{tabular}{c|c} 3 & 1296 \\ \hline 3 & 432 \\ \hline 3 & 144 \\ \hline 3 & 48 \\ \hline 2 & 16 \\ \hline 2 & 8 \\ \hline 2 & 4 \\ \hline 2 & 2 \\ \hline & 1 \end{tabular}
So we get 1296=3×3×3×3×2×2×2×2=34×24
1296=34×24=32×22

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