Simplifying Square Roots in Prealgebra

Which of the following is NOT a requirement for a radical expression to be in simplest form?

• No factor under the radical sign has a perfect square factor other than 1

• There are no fractions under the radical sign

• The expression under the radical sign must be an integer

• There are no radical signs in the denominator of any fraction

What is the simplified form of the square root of 9 times 7?

• The square root of 9 times 7

• 9 times the square root of 7

• The square root of 63

• 3 times the square root of 7

If you have the square root of 150, which perfect square factor can you use to simplify it?

• 16

• 25

• 36

• 49

What is the simplified form of the square root of 25 times the square root of 6?

• 5 times the square root of 6

• The square root of 31

• The square root of 150

• 6 times the square root of 5

When simplifying the square root of 9 times 2 times t squared, what is the simplified form?

• 3t times the square root of 2

• 9t times the square root of 2

• 3 times the square root of 2t

• t times the square root of 18

What is the simplified form of the square root of 11 over 4?

• 11 over the square root of 4

• The square root of 44

• The square root of 11 over the square root of 4

• The square root of 11 over 2

In the quotient property of square roots, what must be true about the denominator?

• It must be greater than zero

• It must be a perfect square

• It must be an integer

• It must be less than zero

What is the simplified form of the square root of 17 over 25?

• The square root of 17 over 5

• The square root of 17 over the square root of 25

• The square root of 42

• 17 over the square root of 25

Which of the following is true about the square root of a negative number in the quotient property?

• It cannot be simplified

• It must be less than zero

• It must be greater than zero

• It can be simplified normally

What should you do after understanding the previous information?

• Skip the assignment

• Start the assignment

• Review the video again

• Ask for help