Question

homework website won't accept my answer because of the square root in denominator...How do I rationalize it properly???

*picture*

http://imageshack.us/a/img833/1553/screenshot20120915at924.png

Answer 1

Multiply by 1.

Answer 2

or in your case, sqrt(7)^3/sqrt(7)^3

Answer 3

It will cancel the bottom and it will move the radical to the top. Does that make sense?

Answer 4

yeah except not sure what will end up on bottom?? does the sqrt 7^3 just dissapear..what happens to the ^2 infront ?

Answer 5

The 2 in the front just means it is a square root. Like how a 3 would denote a cube root.

Answer 6

I'm thinking this:
\[\frac{1}{\sqrt[2]{7^3}}\]\[=\frac{1}{\sqrt[2]{7^3}} \times \frac{\sqrt[2]{7}}{\sqrt[2]{7}}\]\[=\frac{\sqrt[2]{7}}{\sqrt[2]{7^3} \times \sqrt[2]{7}}\]\[=\frac{\sqrt[2]{7}}{7^{\frac{3}{2}+\frac{1}{2}}}\]Then, simplify the denominator, it should be pretty cool!