Multiply by the conjugate to simplify a radical rational expression

Multiply by the conjugate to simplify a radical rational expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers rationalizing denominators by multiplying by the conjugate to eliminate radicals. It explains the difference of two squares, showing how middle terms cancel out, simplifying expressions. The tutorial also applies the distributive property to multiply numerators, emphasizing the importance of these techniques in simplifying mathematical expressions.

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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 radicals?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the difference of two squares and how it applies to the multiplication of conjugates.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the middle terms when applying the difference of two squares?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression after rationalizing the denominator?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result when you simplify the expression 4 - sqrt(9)?

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