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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?
441
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Answer

441 = 3 × 3 × 7 × 7
$\begin{array}{c|c} 3& 441 \\ \hline 3 & 147 \\\hline 7&49 \\\hline 7&7\\\hline&1 \end{array}$
Grouping them into pairs of equal factors,
441 = 3 × 3 × (7 × 7)
There are no left out of pairs. Hence, 441 is a perfect square.

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