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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:
$11025$
✓

Answer

We have, $11025$
$\begin{array}{c|c}3 & 11025 \\ \hline3 & 3675\\\hline5&1225\\\hline5&245\\\hline7&49\\\hline 7&7\\\hline&1\end{array}$
Now, $11025=\underline{3\times3}\times\underline{5\times5}\times\underline{7\times7}$
$\therefore$ Square root of $11025$ $=\sqrt{11025}=3\times5\times7=105$

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