Using the prime factorisation method, find the following numbers … - Vidyadip

Question

Using the prime factorisation method, find the following numbers are perfect squares:
$4225$

✓

Answer

A perfect square can always be expressed as a product of equal factors.
Resolving into prime factors:
$4225$
$=25 \times 169$
$=5 \times 5 \times 13 \times 13$
$=5 \times 13 \times 5 \times 13$
$=65 \times 65$
$=(65)^2$
Thus, 4225 is a perfect square.

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