Question

Find the smallest number by which 1152 must be divided so that quotient becomes a perfect square

Answer 1

Hey

Here is your answer,

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
= √576
= 2 x 2 x 2 x 3
= 24

Hope it helps...!!!

Answer 2

Answer:

2

Step-by-step explanation:

1152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3.

Dividing 1152 by 2 makes it a perfect square.