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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?
189
✓

Answer

189 = 3 × 3 × 3 × 7
$\begin{array}{c|c} 3& 189 \\ \hline 3 & 63 \\\hline 3&21 \\\hline 7&7 \\\hline &1 \end{array}$
Grouping them into pairs of equal factors,
189 = (3 × 3) × 3 × 7
The factors 3 and 7 cannot be paired. Hence, 189 is not a perfect square.

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