1. Math 71B
7.5 – Multiplying with More Than One Term and Rationalizing Denominators

2. Multiplying Radical Expressions with More Than One Term
Ex 1. Multiply: 3 𝑥 3 𝑥 2 − 3 7 = ( )(2 5 −4 2 )= ( )( 6 − 5 )= 𝑥𝑦 − 𝑏 𝑥𝑦 + 𝑏 =

3. Rationalizing Denominators Containing One Term
Ex 2. Rationalize the denominator (that is, make the bottom of the fraction a rational #): 3 7 = = 2𝑥 7𝑦 = 3 𝑥 3 9𝑦 = 6𝑥 5 8 𝑥 2 𝑦 4 =

4. Ex 3. Rationalize the denominator: 18 2 3 +3 = 2+ 5 6 − 3 =
Rationalizing Denominators Containing Two Terms
Ex 3. Rationalize the denominator: = − 3 =