The Basics of Radicals

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

• radical sign
• radicand
• factor
• exponent

Simplify the following radical: √150

• 5√15
• 5√2
• 5√6
• 15√5

∛81

• Simplified
• 3∛3
• 9
• 27∛3

Simplify 4√75

• 4√5
• 12√5
• 20√3
• 7√3

Simplify:

• 5x√2
• 100x√2
• 10x√2
• 10√2x

-4√1000

• -400
• -40
• -400√100
• -40√100

√75x²

• 5x²√3
• 5x
• 5x√3x
• 5x√3

√500x⁸y²

• 10x⁴y√5
• 10x⁴y²√5
• 50x⁴y
• 100x⁴y√5

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100

• True
• False

Simplify:

5√117

• 15√39

• 15√13

• 45√13

• 5√117