Simplifying a radical expression by rationalizing the denominator as a binomial

Simplifying a radical expression by rationalizing the denominator as a binomial

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial demonstrates how to simplify a radical rational expression by rationalizing the denominator. It explains the necessity of using the conjugate when the denominator is a binomial, leading to the difference of two squares. The process involves multiplying the numerator and denominator by the conjugate, simplifying the expression, and arriving at the final answer. The tutorial concludes with a summary of the steps taken to achieve the simplified expression.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process used to simplify the radical rational expression mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why we cannot simply multiply by the square root of 10 on both the top and bottom of the expression.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the conjugate of the binomial used in the denominator?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the result of multiplying a binomial by its conjugate.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final simplified expression after applying the difference of two squares?

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