Lesson 3: Multiplying Radicals
When multiplying mixed radicals multiply iniegertr'mes integer and radicand times radicand.
Example 1: Multiply then write your answer in simplest form.
a) [fa/$51 45): 35% b) BJEXx/2 3" H4 (5%
/\ A 2x
Lesson 1: Simpliging Radicals
An expression of the form V? is called an entire radical.
An expression of the form ad? is called a mixed radical.
NOTE: ax]; = a - x/E i) 'Vigyib 7%
Changing Mixed Radicals to Entire Radical
Lesson 2: Adding and Subtracting Radicals
To add or subtract radicals the radicand (the number under the 3:15} must be the
Example 1: Simplify the following
mm 15-22 3545: I
c) éBisn2£= dim7+h3ri=
a? c,.3-s -2J'7 -SS§
+3 3 SJ?
Lesson 3: Dividing Radicals Part | Rationalizing the denominator:
The process of eliminating radicals in the denominator.
Ifthe denominator is a monomial then multiply top and bottom by radical in denominator
(denominator needs to be in simp
Sequences and Series
Lesson 2: The General Term of an Arithmetic Seguence
The General Term of an arithmetic se uence:
Where a is the 1' term, :1 is the term number (or number of terms). d is the common
difference, and in is the n term (
Lesson 7: Solving Radical Eguations
Example 1: Solve the following equations algebraically:
a) V5214 1. Isolate the radical
3 f I 2. Square both sides
3. Solve for x
2. 2. 4. Check answers.
b) 75 cuck: 57-? .- 7 =5? +7 HW: Worksheet
Lesson 5: Dividing Radicals Part II
Examgle 1: Expand the following then simplify.
a) (Ammo2) = '3 M q
b) (3xfE2x/E)(3\/§+2\/§) = q .2 *M_q.s
3 2o =E
(a + b! and (a p) are called conjugates. When you multiply conjugates containi