Rationalize the denominator with a radical

Rationalize the denominator with a radical

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of rationalizing denominators by removing roots from the bottom of fractions. It introduces the concept of multiplying by the conjugate to achieve this, using the difference of squares method. The tutorial walks through the steps of simplifying expressions and concludes with a final simplified result, emphasizing the importance of canceling out terms to achieve a rational denominator.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the reason for not having a radical in the denominator?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of multiplying by the conjugate to eliminate the radical from the denominator.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the inner terms when multiplying the conjugate?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression after multiplying by the conjugate?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result after simplifying the expression in the example?

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