Download Section 8.1 39 = 4 16 = = 36 = 81 = 100 = •22 = •33 = •44 = •55 = •66

Section 8.1
22 
SQUARE TO SQUARE ROOT YouTube Video
3 3 
42
9 3
44 
16  4
55 
25 
66 
36 
77 
49 
8 8 
64 
99 
81 
10 10 
100 
11 11 
121 
12 12 

 64
64
25
 0.64

25
64

9
81
 6 81  5 1
Approximate using your calculator:
√11
1
4
√52
1
Radical Land
32
50
-7 81
6
625
YouTube Video
108
5 250
5 99
- 42
2
Radicals - Simplifying with variables YouTube Video
32
32 x 2 y 3
32 x 2 y 3 z11
Try:
81x 4 y 13
5 x14 y10
81 x  2 2
x2  6x  9
Special note:
36x 2
 7x2
8  t 2
3
Section 8.2
Radicals – Simplifying with different roots
4
32x 5
3
32x 5
32x 5
5
32x 5
53 72 x 12 y 10
4
162xy 5
YouTube Video
45 25 x 10 yc 5
4
Section 8.3
Adding and subtracting radicals YouTube Video
1
+
3
4
2 3  5 3  2 square root of threes + 5 square root of threes = 7 square root of threes = 𝟕√𝟑
8 2 6 2 5 2
9 7 34 72 3
5b 12a 2b  ab 3  16a 27b3
5
Section 8.4
Multiplication YouTube Video
Multiply: 2 7  3 3  _____________
How do you multiply radicals?__________________________________________________________
Multiply the Radicals and simplify:

7 21
3x 4
7 24 5 42
 9x 
9


9 x 7 y 2  5 9 x 2 y 9




6
Radicals - Distributing
YouTube Video

2 3 4 6 2 2

2  7x


3x  7
3 x

2

x 4
3 2


2
7
Radicals Involving Fractions YouTube Video
4
2a 2
50
2 270
3 10
7a 3
7a
9a 8b 5
36b
120
5
50 2
7 7
7
3 x 2 y  xy 
3
5  10 


8
Radicals - Rationalizing the Denominator YouTube Video
Check list:
25a 2
b
1)
2)
3)
270
9
6
7a
9
72a 3 b
5
30
20a 2
9
Section 8.5
Radicals - Rationalizing with the Conjugate YouTube Video
Conjugate of 3  2 is 3  2
Conjugate of  x  4 7 is
x4 7
Rationalizing the Denominator:
3
2 7
z
x z
7 5
5 2
10
Section 8.6
Radicals - Intro to Solving Equations YouTube Video
Warm up:
1)
32
2)
 4 2
 7 2 
2
What does  x  
3)
 9 2
4)
 3 2
What does
What happens to the negative in
Explain.________________________________
 3 2 :
What do you need to do to both sides of the equation to remove the
?______
Try to solve the following and then check your answers:
5)
x 5
6)
2x  3
7)
2x  1  3
11
Radicals - Solving Equations YouTube Video
Try to finish the following:
8)
2  3 x 2
2  3 x 2  3 x 
9)
3 x 2
2
32  x 
________________
________
Was problem 8 or problem 9 faster?__________________
Which answer is void of radicals?___________________
Try to Solve the following:
10)
3 x 5
11)
2 x  3
12)
2  x  3
12
Radicals - Solving Equations Part II YouTube Video
If x=9, then
x  3
Why?__________________________
ISOLATE the radical and square both sides
10  4  2 x  4
Check your answer
 3 5 x  0
Check your answers
4 x 2  5
Check your answers
13