Warm Up = = = = = = = =
Fractions Involving Square Roots You can cancel out common factors first That was easy!
Examples
Rationalizing You can never have a square in the denominator (bottom) of a fraction.
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.
The same way we change the denominator of any fraction!
We multiply the denominator and the numerator by the same number.
can we multiply the bottom by? By what number can we multiply the bottom by? to change it to a rational number?
Rationalize the denominator: (Don’t forget to simplify)
Rationalize the denominator: (Don’t forget to simplify) (Don’t forget to simplify)