Question

Find the smallest number by which 2400 is to be multiplied to get a perfect square and also find the square root of the resulting number​

Answer 1

Step-by-step explanation:

$\sqrt{2400} = 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 2 \times 3$

So the smallest no. that must be multiplied to 2400 to make it a perfect square =

$2 \times 3 = 6$

The resulting square no. =

$2400 \times 6 = 14400$

$\sqrt{14400} = 120$