Show that the following numbers is a perfect square. In case, fin… - Vidyadip

Question

Show that the following numbers is a perfect square. In case, find the number whose square is the given number:
$8281$

✓

Answer

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

Resolving into prime factors:

$8281$

$=49 \times 169$

$=7 \times 7 \times 13 \times 13$

$=7 \times 13 \times 7 \times 13$

$=(7 \times 13)^2$

$=(91)^2$

Thus, 8281 is the perfect square of 91.

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