Dividing and Simplifying Radicals

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.

What is the first step in dividing radicals?

• Subtract the radicals

• Multiply the radicals

• Rationalize the denominator

• Add the radicals

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

• Radical 6

• Radical 3

• Radical 18

• Radical 9

What is the simplified form of radical 18?

• 3 radical 2

• 2 radical 3

• Radical 9

• Radical 6

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

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

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

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

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

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