7.3 Binomial Radical Expressions If we had no winter, the spring would not be so pleasant: if we did not sometimes taste of adversity, prosperity would not be so welcome. Adding and Subtracting Radicals Like radicals are radical expressions that have the same index and the same radicand. Add or subtract if possible. Ex1) 8 3 y 5 3 y Ex2) 4 7 4 8 Ex3) 5 3 11 3 Ex4) 8 3 5 2 4 5 Ex5) 7 xy 3 xy Simplifying Before + and Ex6) 3 20 45 4 80 Ex7) 4 75 3 12 2 48 Multiply Ex8) 2 4 3 1 5 3 Ex9) 2 3 3 5 Conjugates: Ex10) 3 5 2 3 5 2 2 Divide (Rationalize the Denominator) 4 2 Ex11) 1 2 2 3 Ex12) 4 3 7.3 Binomial Radical Expressions HW: #1 - 43 odd If we had no winter, the spring would not be so pleasant: if we did not sometimes taste of adversity, prosperity would not be so welcome.