SOLUTION: Question- How can you write the expression with rationalized denominator? 2 plus square root of 3 (with index root of 3) over square root of 6 also with index root of 3

Question 390898: Question- How can you write the expression with rationalized denominator?
2 plus square root of 3 (with index root of 3) over square root of 6 also with index root of 3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

BTW: These are called cube (or third) roots, not "square roots with index root of 3".

To rationalize the denominator we need to turn it into a cube root of a perfect cube. And we can change the denominator by multiplying the numerator and denominator by the same number. So we need to find the right number that will turn into the cube root of a perfect cube. For this we can use :

In the numerator we use the Distributive Property. The denominators are easy to multiply:

which simplifies as follows:

This is the simplified expression with a rational denominator.
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