Simplifying Radicals with Perfect Square Factors

In this video, Mr. Up Help explains how to simplify radicals using perfect square factors. He begins by reviewing the concept of perfect squares, which are numbers that yield whole numbers when square-rooted. The video then demonstrates how to simplify non-perfect square roots, such as √50, by breaking them into products of perfect square factors. This method allows for the expression to be simplified to its smallest form, like rewriting √50 as 5√2.

What is the square root of 9?

• 6

• 81

• 9

• 3

Which of the following is a perfect square?

• 16

• 18

• 22

• 27

What is the square root of 16?

• 4

• 2

• 16

• 8

What is the square root of 25?

• 6

• 10

• 25

• 5

Which of the following numbers is not a perfect square?

• 49

• 36

• 34

• 64

Why is the square root of 50 not simplified when expressed as the square root of 10 times the square root of 5?

• Because it equals 50

• Because it simplifies to 5

• Because it does not use a perfect square factor

• Because it simplifies to 10

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

• 5

• 25

• 10

• 2.5

How can the square root of 50 be simplified using perfect square factors?

• 8 rad 2

• 5 rad 2

• 7 rad 3

• 6 rad 4

What does the square root of 50 simplify to when using the square root of 25 and the square root of 2?

• 5 rad 2

• 50 rad 2

• 25 rad 2

• 2.5 rad 2

What is the result of simplifying the square root of 50 using the method discussed?

• 5 rad 5

• 10 rad 5

• 50 rad 2

• 5 rad 2