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Square Root and Cube-Cube Root — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare Root and Cube-Cube Root2 Marks
Question
Using prime factorisation, find the square roots of:$4761$
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Answer

We have,$4761$ 
$\begin{array}{c|c}3 & 4761 \\ \hline3 & 1587\\\hline23&529\\\hline23&23\\\hline&1\end{array}$
Now, $4761$$=\underline{3\times3}\times\underline{23\times23}$
$\therefore$ Square root of $4761$ $=\sqrt{4761}=3\times23=69$

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