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

Hope this answer helps u :)

Answer 2

180=2×2×3×3×5
root 180= root(2×2×3×3×5)
root 180=2×3× root5
root 180= 6 root5

therefore 5 is the number which should be multiplied to 180 so that it will become a perfect square.
180×5=900.

therefore, root of 900 =30