Solving Equations with Square and Cube Roots

The video tutorial covers solving equations using perfect squares and cubes. It explains the use of inverse operations to find solutions for equations with exponents, specifically x squared and x cubed. The tutorial highlights the difference in solutions for squared and cubed equations, emphasizing that squared equations can have two solutions (positive and negative), while cubed equations typically have one. Practice problems are provided with step-by-step solutions, and viewers are encouraged to review the material and seek help if needed.

What is the inverse operation of squaring a number?

• Cube root

• Multiplication

• Square root

• Addition

If x squared equals 49, what is the value of x?

• 7

• 14

• 49

• 21

What is the cube root of 64?

• 16

• 8

• 4

• 2

If x cubed equals -27, what is the value of x?

• 9

• -3

• 3

• -9

Why do equations with squared variables have two solutions?

• Because they involve addition and subtraction

• Because they have no solutions

• Because both positive and negative numbers squared give a positive result

• Because they involve multiplication and division

What is the value of x if x squared equals 144?

• 12

• -12

• Both 12 and -12

• None of the above

What is the cube root of 125?

• 10

• 15

• 25

• 5

If 1000 equals x cubed, what is the value of x?

• 1000

• 10

• 100

• 1

What is the value of x if x squared equals 256?

• Both 16 and -16

• 16

• -16

• None of the above

What is the value of x if x cubed equals 1331?

• -11

• Both 11 and -11

• 11

• None of the above