Binomial Radical Expressions Algebra II 7-3 Binomial Radical Expressions

Adding and Subtracting 3 4 45 +8 4 45 (3+8) 4 45 11 4 45 You can only add or subtract radicals that are the same. Think combining like terms

7 𝑥𝑦 −8 𝑥𝑦 − 𝑥𝑦 15 2 7 +2 3 7

Multiplying aka FOIL 3+2 7 4+3 11 12+9 11 +8 7 +6 77 7− 6 4+ 6 28+7 6 −4 6 −6 22+3 6

Multiply Conjugates 4−7 2 What is its conjugate 4+7 2 4−7 2 4+7 2 16+28 2 −28 2 −49 2 16−98 −82

Multiply its Conjugate 5− 11 14

Rationalizing with a Conjugate 6+ 15 4− 15 6+ 15 4− 15 ∗ 4+ 15 4+ 15 24+10 15 +15 16−15 39+10 15 1

4 1+ 3 −2+2 3 5+ 3 2− 3 13+7 3

iRAT Multiply 4+ 3 3− 12 Rationalize the Fraction 5− 8 2+ 18

Problems Page 382 #2-26 even