Rationalizing the Denominator: Techniques and Examples

Rationalizing the Denominator: Techniques and Examples

Assessment

Interactive Video

Mathematics

University

Hard

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The video tutorial explains the process of rationalizing denominators in fractions, particularly those containing square roots. It covers the challenges of working with irrational denominators and demonstrates methods to convert them into rational numbers. The tutorial includes examples of simple surd fractions and more complex cases using conjugates and the difference of squares. The grid method is also introduced for handling advanced problems. The lesson concludes with a call to apply the learned concepts in an assessment.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the difference of two squares theory and how is it applied in rationalizing denominators?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the fraction after rationalizing the denominator?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in expanding double brackets when rationalizing a denominator?

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