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Squares and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquares and Square Roots2 Marks
Question
Using prime factorization method, find the following numbers are perfect squares? $225$
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Answer

$225 = 3 \times 3 \times 5 \times 5$
$\begin{array}{c|c} 3& 225 \\ \hline 3 & 75 \\\hline 5&25 \\\hline 5&5 \\\hline &1 \end{array}$
Grouping them into pairs of equal factors, $225 = (3 \times 3) \times (5 \times 5)$
There are no left out of pairs. Hence, $225$ is a perfect square.

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