Operations with Radicals

Unit 4, Lesson 9February 12th, 2015February 13th, 2015

Do Now (3 mins) Determine whether each equation is true or false, and explain your answer.

a)

b)

c)

d)

e)

f)

g)

25 + 9 = 34

100 − 36 = 64

2 9 + 3 9 = 5 9

5 ⋅ 5 = 5

3 ⋅ 3 ⋅ 3 = 3 3

2 5 ⋅3 5 = 6 5

1004

= 25

StandardsN.RN The Real Number System

Extend the properties of exponents to rational exponents.

2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.

A.SSE-Seeing Structure in Expressions

Interpret the structure of expressions.

1. Use the structure of an expression to identify ways to rewrite it.

ObjectiveHuskies will be able to show how to perform operations such as addition, subtraction, multiplication, and division on radical expressions.

Huskies will show mastery by earning a 3 out of 4 on the exit slip.

Adding/Subtracting Radicals

5 2 − 3 2 12 2 − 3 3 18 + 3 2

2 32 − 4 2 9 + 7 9

Simplify each radical expression by adding or subtracting

54 − 3 6

Multiply/Dividing Radicals

5 ⋅ 45 9 ⋅ 72 63 ⋅ 28

6375

2 45 ⋅ 545

Simplify each radical expression by multiplying or dividing.

18 ⋅ 28

Multiply

2 5 2 − 3 2( )Simplify each radical expression by multiplying.

5 9 + 7 9( )

2 2 2 − 3 3( )

Summary of the Math

• We can square +3 and -3 and get 9 but only gives +3

• Can only add radical expressions if the values of the radicals are the same.

• You can multiply unlike radicals

• Simplify before performing the operations

9

Independent/Group Practice

• Complete page 17 of the Pearson Exercises