186,803 views
3 votes
3 votes
If x is positive, is


\sqrt{ \frac{1}{ { {x} }^(2) } }
greater than, less than, or equal to

\sqrt[3]{ \frac{1}{ {x}^(3) } }


User Mohit Athwani
by
2.8k points

1 Answer

8 votes
8 votes

They are equal.


\sqrt{\frac1{x^2}} = \frac1 = \frac1x

since
x>0, and


\sqrt[3]{\frac1{x^3}} = \frac1x

User Lahiru Jayaratne
by
3.3k points
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