RETAKE: Operations on Radical Expressions
1. Divide the radical expression and simplify completely:
3
11 8
2500𝑥 𝑦
3
5 −1
4𝑥 𝑦
3
2
5
2
6
2. Select ALL of the expressions that are equivalent to 4 𝑎 𝑏 𝑐
6 2
12 5 2
64𝑎 𝑏 𝑐 𝑏
64𝑎 𝑏 𝑐
12 5 2
(64𝑎
𝑏𝑐
)
1
2
6 2
8𝑎 𝑏 𝑐
3. Simplify the radical expression.
3
7 16
− 27𝑥 𝑦
2
− 𝑥𝑦
3
4 10
8𝑥 𝑦
𝑏
4
3
2
4𝑎 𝑏 𝑐
(
12 5 2
64 𝑎 𝑏 𝑐
)
1
2
RETAKE: Operations on Radical Expressions
4.
Multiply the radical expressions.
3
3
5 7
5 6𝑥 𝑦 · 2 4𝑥𝑦
5.
Simplify the following rational exponent expression:
(
3
4
4
2
5 𝑎 𝑏
6.
1
8
12
)
Simplify the following radical expression completely:
2 7
7𝑏𝑐 𝑑
3
10 4 2
40𝑏 𝑐 𝑑