Question

The number 1953125 is equal to 5^9

explain how the infomation above informs that 1953125 is not a square number

Answer 1

Explanation:

Given

`1953125=5^9`

For a perfect square, its square root must be an integer

The square root of 1953125 i.e.
`√(1953125)=√(5^9)`

or,
`√(5^9)=5^(9)/(2)`

Clearly,
`(9)/(2)` is not an integer so,
`5^{(9)/(2)}` is also not an integer

Hence, 1953125 is not a square number