Question

For the following number, find the smallest whole number by which its should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained.
$180$

Answer 1

Let Factorise number $180$ we get,

$180=2\times 2\times 3\times 3\times 5$

$180=2^2\times 3^2\times 5^2$

For perfect root, we have to multiply the number $180$ with $5$

we get , a new number

$180\times 5=900=2^2\times 3^2\times 5^2$

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