Given:
Consider the given radical expression is:
[tex]\sqrt{81x^6}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\sqrt{81x^6}[/tex]
It can be written as:
[tex]\sqrt{81x^6}=\sqrt{9^2(x^3)^2}[/tex]
[tex]\sqrt{81x^6}=\sqrt{(9x^3)^2}[/tex] [tex][\because (ab)^n=a^nb^n][/tex]
[tex]\sqrt{81x^6}=9x^3[/tex]
Therefore, the correct option is C.
