Simplifying Radicals with Variables and Exponents

What is the main goal of this video?

• To solve quadratic equations

• To simplify radicals involving numbers and variables

• To understand the concept of imaginary numbers

• To learn how to add and subtract radicals

What is the largest perfect square that can be taken out of the square root of 27?

• 25

• 16

• 9

• 4

How do you simplify the square root of x to the fourth?

• Divide the exponent by 3

• Multiply the exponent by 2

• Divide the exponent by 2

• Subtract 1 from the exponent

What is the simplified form of the square root of 45?

• 3 rad 5

• 5 rad 3

• 9 rad 5

• 3 rad 9

What is the largest perfect square that can be taken out of y to the ninth?

• y to the eighth

• y to the fourth

• y to the sixth

• y to the seventh

What is the cube root of 27?

• 5

• 2

• 4

• 3

Which of the following is a perfect cube?

• 16

• 27

• 36

• 49

How do you simplify the cube root of x to the sixth?

• Divide the exponent by 2

• Multiply the exponent by 3

• Divide the exponent by 3

• Subtract 1 from the exponent

What is the simplified form of the square root of 25?

• 4

• 6

• 3

• 5

How do you rationalize the denominator of a fraction with a square root?

• Add the same square root to the numerator and denominator

• Multiply the numerator and denominator by the same square root

• Divide the numerator and denominator by the same square root

• Subtract the same square root from the numerator and denominator