Question

What is the least number by which $300$ is to be multiplied so that the number obtained is a perfect square?Also, find the square root of the resulting number?

Answer 1

Here, $300=2\times \times 2\times 5\times 5\times 3$

The factor $3$ is without a pair.

So, if there is one more factor $3$ then we will get a perfect square.

$\therefore ,300\times 3=900=2^2\times 5^2\times 3^2$

$\sqrt{900}=\sqrt{2^2\times 5^2\times 3^2}=2\times 5\times 3=30$