Question

A certain number is both a perfect square and a perfect cube.will its square root and its cube root always be different numbers?why?

Answer 1

Answer:

Step-by-step explanation:

There are two ways to interpret this question, namely:

You want to know a number which can act as the perfect square root as well as the perfect cube root.

You want to know a number which is a perfect square as well as a perfect cube of an integer.

In the first case, the solution is simple. Any non-negative integer is a perfect square root as well as a perfect cube root of a larger number.

A non-negative integer, say 0, is the perfect square root of 0 as well as a perfect cube root of 0. This holds true for all non-negative integers beginning from 0 i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……….

In the ...