Learn how to solve an equation with a rational power by squaring both side

The video tutorial explains how to solve problems with rational roots using inverse operations. It begins by introducing the concept of inverse operations, such as the relationship between squaring and square roots. The tutorial then demonstrates how to isolate the variable X by raising it to the reciprocal power, effectively solving the equation. The process is verified by checking the solution, ensuring the method's accuracy. The tutorial concludes with a brief mention of addressing negative solutions.

What is the inverse operation of raising X to the 1/2 power?

• Multiplying X by 2

• Taking the cube root of X

• Squaring X

• Cubing X

When isolating X, what operation should be applied to X to the 1/2 power to get X to the first power?

• Raise to the power of 2

• Divide by 2

• Multiply by 1/2

• Subtract 1/2

What is the reciprocal of 1/2?

• 1/4

• 2

• 1

• 4

In the example provided, what is the value of X when X to the 1/2 power equals 7?

• 14

• 49

• 7

• 21

How can you verify that your solution for X is correct?

• By checking if X equals 0

• By substituting X back into the original equation

• By dividing X by 7

• By multiplying X by 2