Learn how to rationalize the denominator with a binomial and radical

Learn how to rationalize the denominator with a binomial and radical

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve a mathematical problem involving rationalizing the denominator of an expression with a square root. The instructor discusses the importance of removing radicals from the denominator and introduces the concept of the difference of two squares. By multiplying by the conjugate, the expression is simplified, eliminating the square root from the denominator. The tutorial concludes with the final simplification of the expression.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process of rationalizing the denominator when dealing with a radical number?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result when rationalizing the expression 4 / (3 + sqrt(2))?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the difference of two squares and how it applies to rationalizing denominators.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the middle terms when multiplying a binomial by its conjugate?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the conjugate in the context of rationalizing denominators.

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