of Radical Expressions

Since we have a square root in the denominator, ** we need to
multiply by the square root of an expression that will give us a perfect
square under the square root in the denominator. **

**So in this case, we can accomplish this by multiplying top and bottom
by the square root of 11:**

***Den. now has a perfect square under sq. root**

**AND**

**Step 3: Simplify the fraction if needed.**

***Sq. root of 121 is 11**

Since we have a cube root in the numerator, **we need to multiply
by the cube root of an expression that will give us a perfect cube under
the cube root in the numerator. **

**So in this case, we can accomplish this by multiplying top and bottom
by the cube root of :**

***Mult. num. and den. by cube root of **

***Num. now has a perfect cube under cube root**

**AND**

**Step 3: Simplify the fraction if needed.**

***Cube root of 125 y cubed is 5y**

In general the conjugate of* a* + *b *is *a* - *b* and vice versa.

**So what would the conjugate of our denominator be?**

It looks like the conjugate is .

**AND**

**Step 4: Simplify the fraction if needed.**

No simplifying can be done on this problem so the final answer is:

Last revised on July 21, 2011 by Kim Seward.

All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward.
All rights reserved.