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

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

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

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