Maharashtra 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.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.