Question

find the smallest multiple of 2352 which is a perfect square. find the square root of the new number.

Answer 1

2352 = 2×2×2×2×3×7×7

Hence if 3 multiplied by 2352, so that 2352 become a perfect square. And square root of new number 3×2352 = 7056 is

√7056 = √(2×2×2×2×3×3×7×7)

           = 2×2×3×7 = 84