Simplifying a rational radical by multiplying by the conjugate

Simplifying a rational radical by multiplying by the conjugate

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to handle quotients involving radicals. It begins with an introduction to the problem and demonstrates the method of multiplying by the denominator to eliminate fractions. The tutorial then covers the concept of binomials and perfect squares, highlighting the importance of using conjugates to simplify expressions with radicals. The final solution is presented, emphasizing the need to multiply by the conjugate to remove radicals from the denominator.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final result when simplifying the expression involving radical 3 and radical 15?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of simplifying a quotient with a radical in the denominator.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle a radical in the denominator when it is part of a binomial?

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