Question

is 2880 a perfect square? if not, find the smallest multiple of 2880 which is a perfect square. find the square root of the new number​

Answer 1

Explanation:

2880 = 2⁶ * 3² * 5.

Since not all the prime factors of 2880 have even powers, 2880 is not a perfect square.

Instead, 2⁶ * 3² * 5² is a perfect square as all its prime factors have even powers. The square root of this new number is 2³ * 3 * 5 = 120.