Simplifying Radicals and Rationalizing Denominators

This video tutorial covers the process of dividing radicals, including breaking apart radicands using the quotient rule, identifying and simplifying perfect square radicals, and rationalizing denominators. The tutorial provides step-by-step examples to illustrate these concepts, emphasizing the importance of simplifying both coefficients and radicals separately.

What is the first step in dividing radicals?

• Add the radicands

• Multiply the radicands

• Break apart the radicands using the quotient rule

• Combine the radicands

How do you handle perfect square radicals when simplifying?

• Eliminate the radical by taking the square root

• Multiply them by 2

• Leave them as they are

• Add them to the coefficient

What should you do if you have the square root of 8 over 32?

• Multiply both numerator and denominator by 2

• Simplify the fraction first

• Add 8 and 32

• Leave it as it is

What is the simplified form of the square root of 49 over the square root of 100?

• 10/7

• 49/100

• 1/2

• 7/10

How do you simplify the square root of 12 over 6?

• Leave it as it is

• Break it into 4 times 3 and simplify

• Multiply by 2

• Add 12 and 6

What is the process of eliminating the radical in the denominator called?

• Rationalizing the denominator

• Multiplying the numerator

• Adding the denominator

• Simplifying the numerator

What do you get when you multiply the square root of 7 by the square root of 7?

• Square root of 14

• Square root of 49

• 7

• 14

How do you simplify 5 square root 12 over square root 10?

• Add 12 and 10

• Leave it as it is

• Multiply by square root of 10

• Simplify to square root of 6 over square root of 5

What is the simplified form of 2 square root 5 over 3 square root 2?

• Square root of 10 over 3

• Square root of 5 over 2

• Square root of 10 over 6

• Square root of 5 over 3

What is the simplified form of 4 times the square root of 60 over 12?

• Square root of 60 over 12

• 2 square root of 15 over 3

• Square root of 60 over 3

• 4 square root of 15 over 12