Question

by which smallest number should we multiply 168.75 to make it a perfect square​

Answer 1

Answer:

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=2×2×2×2×3×3×5

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 720×5=(2×2)×(2×2)×(3×3)×(5×5)

∵

720×5

=2×2×3×5=60