Question

Find the least number by which $162$ must be divided so that the number obtained is a perfect square.Also, find the square root of the resulting number.

Answer 1

We have, $162=2\times 3\times 3\times 3\times 3=2\times 3^4$

The factor $2$ is without a pair. So, if we divide $162$ by $2$ we get a perfect square.

$\therefore 162÷2=3^4$

$\sqrt{81}=\sqrt{3^4}=3^2=9$

The resulting number is $9$