Unit 1 Square Roots9a.notebook
September 21, 2012
Bellringer
Evaluate if a = ­1, b = 5, c = 0, d = 3
1.) a3(d ­ a)2
3.) ­a4 + b2[c2 ­ 2d2] ÷ 2
2.) 3b2 ­ c2
Unit 1 Square Roots9a.notebook
September 21, 2012
Square Roots
Simplify, Compute and Estimate
Unit 1 Square Roots9a.notebook
September 21, 2012
Square Root
Square Roots
A number a is a square root of a number b if a2 = b.
72 = 49, so 7 is a square root of 49.
Radical symbol
√a
Radicand
Together, the radical symbol and the radicand form a radical.
Unit 1 Square Roots9a.notebook
September 21, 2012
Examples: Find the square root.
1.) √64
2.)
4.)
5.)
­√1.96
3.)
16
25
√
6.)
125
Unit 1 Square Roots9a.notebook
September 21, 2012
You can simplify non-perfect square roots.
Two different methods to use.
Simplify √32
Factor Tree Method
Perfect Square Factor
Unit 1 Square Roots9a.notebook
September 21, 2012
Examples:
1.) √48
2.) -√120
Unit 1 Square Roots9a.notebook
3.) √98x2
September 21, 2012
4.) √54x3
Unit 1 Square Roots9a.notebook
5.) 2√150x4
September 21, 2012
6.) √x3y4z7
Unit 1 Square Roots9a.notebook
7.) ­√0.16v5
September 21, 2012
8.) 49 g3
64
√
Unit 1 Square Roots9a.notebook
September 21, 2012
Keystone Ready
Molly is simplifying 7√425 . The steps she took are shown below.
7√425
Step 1: 7 ﴾√400 + √25﴿
Step 2: 7﴾20 + 5﴿
Step 3: 7﴾25﴿
Step 4: 175
One of the steps shown is incorrect.
A. Rewrite the incorrect step so that it is correct.
B. Using the corrected step from part A, simplify 7√425 .