Learn how to solve an equation where both sides are raised to 1 half power

The video tutorial explains the concept of rational powers and their equivalence to square roots. It demonstrates solving a linear equation by applying the power rule, where exponents are multiplied. The instructor then rewrites the equation using square roots to verify the solution, ensuring no extraneous solutions are present.

Explain the relationship between raising a number to the 1/2 power and taking the square root of that number.

How do you solve the equation X = 2X + 13? Describe the steps involved.

What is the significance of rewriting rational powers as square roots in solving equations?

Describe the process of checking your answer after solving an equation. What steps do you take?

What does it mean to verify that there is no extraneous solution in the context of solving equations?