Math 20-1 Chapter 5 Radical Expressions and Equations Teacher Notes 5.2 Multiply and Divide Radicals

Multiply or Divide Notice the coefficients are multiplied and the variables are multiplied. x must be a number greater or equal to zero.

( ) ( ) = 5.2 Multiply and Divide Radical Expressions Product Property Note Domain: When k is even a ≥ 0 and b ≥ 0. When multiplying radicals, multiply the coefficients and multiply the radicands. You can only multiply radicals with the same index. ( ) ( ) = coefficient x coefficient radicand x radicand 5.2.1

Multiply Radicals Multiply. Simplify where possible. To multiply a polynomial by a monomial, use the distributive property to remove parentheses and then simplify each resulting term, if possible. 5.2.2

Multiply Radicals Your Turn Multiply. Simplify where possible 5.2.3

Quotient Rule with Radicals When dividing radicals, divide the coefficients and then divide the radicands. You can only divide radicals with the same index. Divide and simplify. 5.2.4

Question The multiplication of equals . What is the value of a?

Question 1. For all values of a and b, is equal to: a. a – b a + b

Question is equal to a. b. c. d. 32

Assignment: Textbook p. 289 #1(a,b,d), 2(a,b,d), 3a, 4(a,c), 6