Question

By what smallest number must 180 be multiplied so that it becomes a perfect square ?Also, find the square root of the number so obtained​

Answer 1

Answer:

5

Step-by-step explanation:

For a number  to be a perfect square the prime factors of that number must have even powers.

180=$2^{2} * 3^{2} * 5$

2 and 3 have even powers.

In order to make it a perfect square 5 must have even power.

Therefore the smallest number to be multiplied is 5.