Dividing and Simplifying Radicals

Dividing and Simplifying Radicals

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to divide radicals by rationalizing the denominator. It covers several examples, including dividing radical 6 by radical 3, radical 2 by radical 6, and more. The process involves multiplying the numerator and denominator by the radical in the denominator to create a perfect square, simplifying the expression. The tutorial emphasizes understanding the factorization of numbers to simplify radicals effectively.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing radicals?

Subtract the radicals

Multiply the radicals

Rationalize the denominator

Add the radicals

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing radical 6 by radical 3, what do you multiply the numerator and denominator by?

Radical 6

Radical 3

Radical 18

Radical 9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of radical 18?

3 radical 2

2 radical 3

Radical 9

Radical 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing radical 2 by radical 6 after rationalizing?

Radical 3 over 3

Radical 2 over 3

Radical 3 over 2

Radical 2 over 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of radical 5 over radical 8?

Radical 5 over 4

Radical 10 over 4

Radical 10 over 8

Radical 5 over 8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why don't you need to rationalize radical 5 over radical 4?

The numerator is already simplified

The denominator is a perfect square

The radicals cancel each other out

The fraction is already in simplest form

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing radical 3 by radical 7 after rationalizing?

Radical 21 over 7

Radical 3 over 7

Radical 7 over 21

Radical 21 over 3

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of radical 3 over 2 radical 5 after rationalizing?

Radical 3 over 10

Radical 15 over 10

Radical 5 over 10

Radical 15 over 5

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of radical 8 over 5 radical 10?

Radical 5 over 25

Radical 8 over 50

4 radical 5 over 50

2 radical 5 over 25