Rationalizing the denominator with a radical

Rationalizing the denominator with a radical

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains irrational numbers, using π as an example, and discusses the properties and simplification of radicals. It covers how to multiply radicals and maintain fraction integrity during multiplication, emphasizing the importance of keeping fractions true by multiplying both the numerator and denominator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an example of an irrational number that cannot be expressed as a fraction?

2

3.5

π

1/2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply sqrt(3) by itself?

You get 6

You get 3

You get 9

You get 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to multiply both the numerator and the denominator by the same radical?

To make the fraction smaller

To make the fraction larger

To keep the fraction equivalent

To change the value of the fraction

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 4 by sqrt(3)?

4

3

12

4 * sqrt(3)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express 4 divided by sqrt(3) in a simplified form?

4/3

4 * sqrt(3)

4/3 * sqrt(3)

4 * 3