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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:
9075
✓

Answer

A perfect square can always be expressed as a product of equal factors.
Resolving into prime factors:
9075
= 25 × 363
= 5 × 5 × 3 × 11 × 11
= 55 × 55 × 3
9075 is not a product of two equal numbers.
Thus, 9075 is not a perfect square.

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