Question

find the smallest number by which 1152 must be divided so that it becomes a perfect square. also, find the square root of the number obtained

Answer 1

Hi Friend !!!

Here is ur answer !!!

1152 = 2²×2²×2²×3²×2

So 2 has to be divided to get a perfect square

Hope it helps u : )

Answer 2

Hey...!!,

1152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Here, 2 does not forms a pair of square.
So, 2 must be divided by 1152 to make it a perfect square.

Therefore, 1152/2 = 576

So, 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
$\sqrt{576}$
= 2 x 2 x 2 x 3
= 24

Hope it helps...!!!