How to solve a radical equation by using rational powers using absolute value

How to solve a radical equation by using rational powers using absolute value

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial covers the concept of rational powers and their equivalence to radicals. It explains how to solve equations involving rational powers, emphasizing the importance of isolating the variable. The tutorial also discusses the operations involving roots and powers, including the use of absolute values when dealing with even roots leading to odd powers. Finally, it demonstrates how to check solutions for accuracy, ensuring both positive and negative solutions are considered.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between rational powers and radicals as discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you isolate an expression or variable when solving equations with rational powers?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of solving the equation sqrt(X) = 4 as mentioned in the text.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved when dealing with the fourth root of X to the third power?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What should you remember when taking the even root and the answer turns out to be an odd power?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle absolute value equations as described in the text?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two cases you need to consider when solving the absolute value equation X + 1 = 8?

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