Question

by what number 5000 should be multiplied to become a perfect square and find the square root of result number

Answer 1

By Fundamental Theorem of Arithmetic

$5000 = {2}^{3} \times {5}^{4}$
Thus If 2 is multiplied on both sides it makes a perfect square

Answer 2

Here is your answer.
5000 should be multiplied by 50 so that it becomes a perfect square.

$5000 \times 50 \\ = 250000$
So,
$\sqrt{250000} \\ = 500$

Or

It can be multiplied by 2 also.

Hope it helps you.

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