Solve Problems with Inverse of Squares and Square Roots

This video tutorial explains the inverse relationship between squares and square roots, demonstrating how they undo each other. It begins by defining squares and square roots, then moves on to explain inverse operations using addition and subtraction as examples. The tutorial further illustrates how squares and square roots are inverses through examples and practice problems, emphasizing the order of operations and the concept of treating terms under the square root as if they are in parentheses. The video concludes with practice problems to reinforce the concepts learned.

What is the square root of 16?

• 5

• 4

• 3

• 2

If you square the number 5, what is the result?

• 25

• 20

• 15

• 10

Which of the following operations are inverses of each other?

• Addition and Subtraction

• Multiplication and Division

• Addition and Multiplication

• Subtraction and Division

What is the result of taking the square root of 9 and then squaring it?

• 3

• 6

• 9

• 12

If you take the square root of 64, what number do you get back?

• 8

• 9

• 7

• 6