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Squares and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquares and Square Roots3 Marks
Question
Using prime factorisation, find the square root of 1025.
✓

Answer

We have, 11025
By prime factorisation,
511025
52205
3441
3147
749
77
1
$\therefore\quad 11025=\underline{5 \times 5} \times \underline{3 \times 3} \times \underline{7 \times 7}$
$\begin{aligned} \text{or }\sqrt{11025} & =5 \times 3 \times 7 \\ & =105\end{aligned}$

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