Gujarat 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:
$9075$
$= 25 \times 363$
$= 5 \times 5 \times 3 \times 11 \times 11$
$= 55 \times 55 \times 3$
$9075$ is not a product of two equal numbers.
Thus, $9075$ is not a perfect square.
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