Simplifying Radicals with Variables

The video tutorial covers finding square roots of variables, starting with a review of basic exponent rules. It explains how to find square roots of variables with even and odd exponents, providing examples and practice problems. The tutorial also highlights common mistakes and offers strategies to avoid them.

What does x squared represent in mathematical terms?

• x divided by x

• x plus x

• x times x

• The square root of x

What is the square root of x to the fourth?

• x to the fourth

• 4x

• 2x

• x to the second

How do you simplify the square root of 9k to the 10th power?

• k to the fifth

• 3k to the tenth

• 3k to the fifth

• 9k to the fifth

What is the result of simplifying the square root of 320xy to the fourth?

• 64y squared root 5x

• 64x squared root y

• 8x root 5y

• 8y squared root 5x

How is the square root of x to the third simplified?

• x to the 1.5

• x root x

• 3x

• x squared

What is the correct simplification for the square root of x to the ninth?

• x to the 4.5

• x to the fourth root x

• x to the third

• 9x

What is the square root of 144x to the 16th y to the 10th z to the sixth?

• 12x to the eighth y to the fifth z to the third

• 12x to the eighth y to the fifth z to the sixth

• 144x to the eighth y to the fifth z to the third

• 12x to the sixteenth y to the tenth z to the sixth

What is the simplified form of the square root of 128p to the fourth q squared r to the 18th?

• 8p to the fourth q r to the ninth root 2p

• 8p q r to the ninth root 2p

• 128p squared q r to the ninth

• 8p squared q r to the ninth root 2p

What is the square root of p to the 15th q to the 9th r?

• p to the seventh q to the fourth root p q r

• p to the 7.5 q to the 4.5 root r

• p to the fifteenth q to the ninth r

• p to the seventh q to the ninth root p q r

What is the square root of 27n to the third?

• 3n squared root 3

• 27n root n

• 9n root 3

• 3n root 3n