Simplifying Radicals

The number under the radical sign or square root sign  is called the ______.

• radical sign
• radicand
• factor
• exponent

The small positive integer just outside and above the radical symbol that denotes the root. For example, this picture denotes the cube root.

• index

• radical

• radicand

• power property rule

Simplify

• 9
• √9
• 3√9
• can't simplify

√16

• 4
• 8
• 16
• 64

Simplify:
√200

• 10√2
• 2√10
• 50√2
• 2√50

Simplify:
√45

• 9√5
• 3√5
• 5√9
• 3√15

Simplify the following radical: √32

• 3√2
• 4√8
• 16√2
• 4√2

√48

• 4√2
• 6√3
• 4√3
• 4√2

In simplest radical form,
√75 is equivalent to

• 25√3
• 25√3
• 5√3
• 3√5

Simplify:
3√16

• 12
• 48
• √12
• 3√4