Answer:
Whole number is 5.
Step-by-step 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 = [tex]\sqrt{25}[/tex].
x = [tex]\sqrt{5 *5}[/tex].
x = 5.
Condition 2:
Cubed the number
x ³ = 125 .
On taking cube root both sides .
[tex]\sqrt[3]{x^{3}} = \sqrt[3]{125}[/tex].
x = [tex]\sqrt[3]{5*5*5}[/tex].
x = [tex]\sqrt[3]{5^{3} }[/tex].
x = 5 .
Therefore, Whole number is 5.
