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

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

Assessment

Interactive Video

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Mathematics

11th Grade - University

Hard

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.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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