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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots2 Marks
Question
Show that the following numbers is a perfect square. In case, find the number whose square is the given number:
$1225$
✓

Answer

A perfect square is a product of two perfectly equal numbers.

Resolving into prime factors:

$1225$

$=25 \times 49$

$=5 \times 5 \times 7 \times 7$

$=5 \times 7 \times 5 \times 7$

$=35 \times 35$

$=(35)^2$

Thus, 1225 is the perfect square of 35.

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