Rules of Radicals

The square of 9 is added to the square root of 9. Find the sum.

• 27

• 81

• 84

• 90

√36n⁴

• 6n
• 6n⁴
• 6n²√2
• 6n²

Simplify:
√45

• 9√5
• 3√5
• 5√9
• 3√15

Simplify the radical...

√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

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

• radical sign
• radicand
• factor
• exponent

Simplify:

• √12
• (4√3)/3
• √3
• (2√3)/3

√48

• 4√2
• 6√3
• 4√3
• 4√2

Simplify:

• √5
• (√14)/2
• √7
• Cannot be simplified

√45x⁴y⁷

• 3x²y³√5
• 9x²y³√5y
• 3x²y³√5y
• 3x⁴y⁷

∛81

• Simplified
• 3∛3
• 9
• 27∛3