Question

find the smallest square by which 2400 is to be multiplied to get a perfect square and square foot of resulting number

Answer 1

Hi ,

Resolve 2400 as product of prime

2400 = 2 × 2 × 2 × 2 × 2 × 5 × 5 × 3

= (2×2 ) × ( 2 × 2 ) × 2 × ( 5 × 5) × 3

Here we observe that 2 and 3 exist

alone

To make 2400 as a perfect square

we must multiply with 2 × 3 = 6

i . e 2400 × 6 = 14400

√14400 = (√120 )²

= 120

I hope this helps you.

:)

Answer 2

2400 = 2 * 2 * 2 * 2 * 2 * 3 * 5 * 5

Which is not a perfect square.In order to make it a perfect square, Multiply it by 2 * 3 = 6.

2400 * 6 = 14400.

The square root of 14400 = 120.


Hope this helps!