aim 9 key - Manhasset Public Schools

HW#8 Answer Key
Aim #9 ­ How do we simplify radicals? Do Now: Simplify.
To simplify radicals, use the
Product Property
• Change expression into the product of a perfect square factor & another factor.
• Then, simplify!
ex 1) ex 2)
List of Perfect Squares:
List of Perfect Cubes:
ex 3) To Simplify square roots
√
If the power is even, divide power by 2
Simplify
1. √ 48k4 To Simplify Cube Roots
2. √ 25a2k3 ∛
With a cubed root, Divide power by 3!
Simplify
3 6
3. ∛ ­8s t 5
4. ∛ 56xy Practice: Simplify each.
** Use the index to determine if we need perfect
7. 8.
9. √
∛
squares !
cubes !
Mad Minute : Express each in simplest radical form.
a) √ 45
c)
√200a2b5
e) √ 72k3
g)
√ 27b6c9
b)
√144p2
d) √625x2y4
f)
16x
√ 3y6
h) √ 36x10y7