Question

Would you classify the number 55 as perfect squareperfect cube both neither explain

Answer 1

Neither because they're are no numbers that can be squared or cubed that'll give you 55.

Answer 2

Explanation:

Neither.

The prime factors of 55 are 11 and 5. Both those number are prime and cannot be broken down any further. In order to have a perfect square or a perfect cube, you need to have more than 1 prime that is the same.

For example 25 is a perfect square. It has 2 fives that are a prime. The sqrt of 25 is 5.

125 is a perfect cube. You need three primes that are the same for a perfect cube, and no other primes, although 1000 is a perfect cube. It's primes are 2*2*2*5*5*5. Notice that there are three of each prime.