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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Using prime factorization method, find the following numbers are perfect squares?
225
✓

Answer

225 = 3 × 3 × 5 × 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 × 3) × (5 × 5)
There are no left out of pairs. Hence, 225 is a perfect square.

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