How do you simplify this by "rationalizing the denominator"?

3

----

√3

3

----

√3

For an answer to be simplified, you cannot have a square root sign in the denominator.

Therefore you must multiply the top and bottom by a term to eliminate the square root

sign in the denominator.

3

----

√3

3√3

--------- {multiplied the top and bottom by √3, to eliminate square root in denominator}

√3 √3

3√3

--------- {multiplied in denominator}

√9

3√3

------- {evaluated square root of 9 to be 3}

3

=

**√3**{cancelled 3 on top and bottom}

*© Algebra House*