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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Using the prime factorisation method, find the following numbers are perfect squares:
$5625$
✓

Answer

A perfect square can always be expressed as a product of equal factors.

Resolving into prime factors:

$5625$

$=225 \times 25$

$=9 \times 25 \times 25$

$=3 \times 3 \times 5 \times 5 \times 5 \times 5$

$=3 \times 5 \times 5 \times 3 \times 5 \times 5$

$=75 \times 75$

$=(75)^2$

Thus, 5625 is a perfect square.

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