1. Warm Up = = = = = = = =

2. Fractions Involving Square Roots
You can cancel out common factors first
That was easy!

3. Examples

4. Rationalizing
You can never have a square in the denominator (bottom) of a fraction.

5. that we don’t leave a radical
There is an agreement
in mathematics
that we don’t leave a radical
in the denominator
of a fraction.

6. The same way we change the denominator of any fraction!

7. We multiply the denominator
and the numerator
by the same number.

8. can we multiply the bottom by?
By what number
can we multiply the bottom by?
to change it
to a rational number?

11. Rationalize the denominator:
(Don’t forget to simplify)

12. Rationalize the denominator:
(Don’t forget to simplify)
(Don’t forget to simplify)