Question

Find the least number which when multiplied with 74088 will make it a perfect square

Answer 1

Hey

Here is your answer,

74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7

= (2 x 2) (3 x 3) (7 x 7) (2 x 3 x 7)

Therefore, required number = 2 x 3 x 7 =42

Hope it helps you!

Answer 2

74088 can be written as
${2}^{3} \times {3}^{3} \times {7}^{3}$
So by multiplying 74088 with 2*3*7=42
The number can be converted in to perfect square.