SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Do Now:
1.
2.
3.
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
1) Find the zeros for each function. Use any method.
a)
f (​ x​)​ ​ 2​ x​ ​ ​ 4​ x​ ​ 6​
2
b)
f (​ x​)​ ​ x​ ​ ​ 2​ x​ ​ 21​
2
Math Tool Box For Solving Quadratic Equations!
1) solving graphically
2) factoring
3) square root method (involves simplifying radicals)
4) quadratic formula (involves simplifying radicals)
rational/irrational roots
5) C ompleting the square 
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Perfect Square Numbers:
A perfect square is a number that can be expressed as the product of two equal integers.
Perfect Square
Square Roots
Numbers
Perfect Square Roots
Square
Numbers
0
0
=
64
64 =
1
1 =
81
81 =
4
4 =
100
100 =
9
9 =
121
121 =
16
16 =
144
144 =
25
25 =
169
169 =
36
36 =
196
196 =
49
49 =
225
225 =
Radical Expression
Steps to simplify the square root:
1) Find, if possible two factors of the radicand, one of which is the largest perfect square
factor of the radicand.
2) Express the square root of the product as the product of the square root factors.
3) Find the square root of the factor that is a perfect square.
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Simplify each expression. Leave the answer in simplest radical form.
2)
54
3)
28
4)
48
5)
33
6)
2 200​
7)
68
Quick C heck for Understanding
8)
80
9)
3 147​
4
SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Solving Quadratic Equations by the Square Root Method
Solve each equation using the square root method. Leave the answer in simplest radical form and
round to the nearest tenth.
4​x 2​ ​ 400​
x 2​ ​ 4​
10)
11)


12)
x 2​ ​10​ ​ 26​
13)
14)
x 2​ ​ 121​
​
15)
16)
x 2​ ​ 20​ ​ 28​
17)
5​x 2​ ​175​ ​ 450​
2​x 2​ ​ 45​ ​ 20​
2​x 2​ ​ 12​ ​ 204​
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Application Problems with Quadratic Functions
​
18) The height of a skydiver jumping out of an airplane is given by h(​t​ )​ ​ 16​
​ t​ ​ 3200​.
How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
2
19)
20)
The area of a square is 196 m 2 . Find the dimensions of the square.
​
The height of an acorn falling out of a tree is given by h​(t​ )​ ​ ​16​t​ ​ b​ .
If an acorn takes 1 second to fall to the ground. What is the value of b?
2
6
SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
Answers 18) 14.1 seconds 19) 14 m 20) b = 16
Basic Practice:
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
LESSON PRACTICE
#1, 2, 3, 4, 5, 6, 7, 11, 17, 18, 19, 20
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SWBA T: Simplify radical expressions. Solve Quadratic Equation using the square root method.
Lesson 11-11
LESSON PRACTICE ANSWERS
#1, 2, 3, 4, 5, 6, 7, 11, 17, 18, 19, 20
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