Question

Find the smallest whole number by which $2800$ should be multiplied so as to get a perfect square number. Also find its square root.

Answer 1

Given number = 2800

using prime factorization

$2800=2\times 2\times 2\times 2\times 5\times 5\times 7$

if above number is multiplied by 7 then it will be perfect square.

$2800\times 7=19600$

& $\sqrt{19600}=140$