Question

The smallest number by which 23328 should be multiplied so that the product is a perfect square is​

Answer 1

Answer:

36w

Step-by-step explanation:

Soln:

23328 = 2×2×2×2×2×2×2×181

=(2×2)×(2×2)×(2×2)×2×181

Thus we see that in the prime factorisation of 23328 one 2 and 181 are not forming pairs .So we should multiply 23328 at least by 2×181=362 to make it a perfect square.

Hence the smallest required is 362.