Question

Find the smallest number by which 720 should be multiplied to get a perfect square.

Answer 1

R.E.F image

Solution :-

We have to find the smallest number by which $720$

should be multiplied to get a perfect square

Here $720=2\times 2\times 2\times 2\times 3\times 3\times 5$

We have pairs of 2 and 3 but there is only one 5

Now if we multiply 720 by 5 then we get three

complete pairs hence the resultant number will be

perfect square

Hence $720\times 5=(2\times 2)\times (2\times 2)\times (3\times 3)\times (5\times 5)$

$\because \sqrt{720\times 5}=2\times 2\times 3\times 5=60$