Simplifying Radicals and Nth

An expression that containing a symbol √

• rational

• radical

• exponential

• radicand

What do you call the process of removing the radical sign in the denominator?

• Reducing the index

• Removing Perfect nth

• Radicalization

• Rationalization

• removing perfect nth powers

• reducing the index to the lowest possible order.

• cancelling the index and the exponent

• rationalization

Select all that are necessary when simplifying radicals

• The index must be as small as possible.

• The radicand contains no factors that are nth powers.

• The radicand contains no fractions

• No radicals appear in the denominator

What is the process in which one eliminates radicals from the denominator or fractions from radicands.

• Rationalizing the denominator

• Conjugates

• The Principal Root

• Combining Like Expressions

Only _____________________________ can be combined when adding and subtracting radicals.

• Like radical expressions

• Unlike radical expressions

• radicals with the same index

• radicals with different indexes.

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

Simplify

• A

• B

• C

• D

Q1. What is the value of the expression?

• A) 11√5

• B) 11√10

• C) 5√5

• D) 12√10

• 17√2
• 9√1
• 9
• 9√2