Download 4-19 algebra 2 materials

Warmup 4-19
1. Simplify:
 2 x 3 y 4 z10 
  5 1 6 
 5x y z 
1
18 3
2. Simplify:
21( x )
1
20 5
77( x )
3. Simplify:
2
9
13x  7 x
4. Simplify:
5
12
2 5
7 6
(64 x )
3
4
5. Solve for x: 10(5x  65)  87  1163
6. Solve for x:
16 x 9
1
 
4
x 6
EXAMPLESSimplifying Radicals part 2
Divide or reduce each fraction
completely, then simplify each root.
Show work!
1.
64x10z14
25y18
3.
36x7y20z5
81x11y8z
45x16y13z9
245x4y21z11
4.
6.
2.
3
3
27x15
343y9z18
108x7yz26
864x22y10z5
5.
3
125x16y12z5
512x7y18z29
Algebra 2
Simplifying Radicals Part 2
Divide or reduce each fraction completely, then simplify each
root. Show work!
1.
121x6y10
49z4
2.
25y12z6
81x2
3.
3
27x6z3
8y12
4.
3
5.
7.
9x9y5
x3y13
3
9.
11.
x13y4z
64x4y16z25
18x3y7z8
98xy13z22
3
250x13y19z4
16x28y7z13
6.
8.
125x15y9
216z21
x8y15z13
169x4yz25
-27x2y12z17
x11y9z5
3
10.
12.
243x6y5z23
48x24y7z
3
-40x7y6z11
135xy18z2
Ticket out the door 4-19
Simplifying Radicals Part 2
Divide or reduce each fraction
completely, then simplify each root.
Show work!
1.
3.
144x14z4
225y22
3
343y15
729x3z21
2.
4.
72x5y9z14
50x13yz4
3
24x11y9z17
81x23y3z26
Examples
Rationalizing the Denominator
Simplify the following radical
expressions by rationalizing the
denominator. Reduce at the end where
needed! Show work!
1.
10
6
2.
3.
6
15
4.
22
2
6.
3
5.
4
-14
3 5
4
5
-11
10
-9
7
GPS Advanced Algebra
Simplifying Radicals Part 3
Simplify the following radical expressions by rationalizing the
denominator. Show work!
1.
4.
3
7.
4
10.
5
13. .
6
4
14
2.
9
7
5.
5
2
8.
9
3
11.
10
5
-7
11
3.
18
10
6. -23
3 6
13
6
9.
13
10
12.
3
4
5
14.
6
13
2
4
5
15
21
22
5
17
4
15.
6
17
3