Question

What whole number equals 25 when it is squared and 125 when it is cubed

Answer 1

5 because 5×5= 25 and 5×5×5= 125

Answer 2

Whole number is 5.

Explanation:

Given : 25 , 125 .

To find : What whole number equals 25 when it is squared and 125 when it is cubed.

Solution : We have given 25 and 125 .

Let the whole number is x .

According to question :

Condition 1 :

Squared the number x

x ² = 25 .

On taking square root both sides .

x =
`√(25)`.

x =
`√(5 *5)`.

x = 5.

Condition 2:

Cubed the number

x ³ = 125 .

On taking cube root both sides .

`\sqrt[3]{x^(3)} = \sqrt[3]{125}`.

x =
`\sqrt[3]{5*5*5}`.

x =
`\sqrt[3]{5^(3) }`.

x = 5 .

Therefore, Whole number is 5.