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Squares and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquares and Square Roots2 Marks
Question
Using the prime factorisation method, find the following numbers are perfect squares: $1089$
✓

Answer

A perfect square can always be expressed as a product of equal factors.
Resolving into prime factors:
$1089$
$= 9 \times 121$
$= 3 \times 3 \times 11 \times 11$
$= 3 \times 11 \times 3 \times 11$
$= 33 \times 33$
$= (33)^2$
Thus, $1089$ is a perfect square.

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