How to rationalize the radical to evaluate a limit

How to rationalize the radical to evaluate a limit

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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The video tutorial explains how to handle radicals in fractions by using conjugates. It highlights the importance of multiplying by the conjugate to eliminate radicals and discusses why direct substitution may not work in certain cases. The tutorial walks through the multiplication and simplification process, emphasizing the cancellation of middle terms. Finally, it demonstrates the evaluation of the expression as the variable approaches a specific value, ensuring a clear understanding of the mathematical concepts involved.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the purpose of multiplying by the conjugate in the context of radicals?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why direct substitution cannot be used in this scenario.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the middle terms when multiplying the conjugate?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of simplifying the expression after multiplying by the conjugate.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the limit as X approaches 3 in this context?

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