Adding and Subtracting Rational Expressions

This video tutorial covers the second day of learning about radicals, focusing on simplifying square roots with variables. It begins with a review of simplifying square roots that are not perfect squares and introduces the concept of simplifying radicals with variables. The tutorial explains how to handle even and odd exponents, providing step-by-step instructions and examples. It also covers more complex examples of radical simplification, emphasizing the importance of identifying perfect squares and managing leftovers when dealing with odd exponents.

What is the first step in simplifying a variable under a square root if the exponent is a multiple of two?

• Multiply the exponent by two

• Divide the exponent by two

• Subtract two from the exponent

• Add two to the exponent

What is the square root of 64?

• 9

• 8

• 7

• 6

What is the square root of 9?

• 2

• 3

• 4

• 5

If you have an odd exponent under a square root, what will you always have?

• A leftover

• A multiple of two

• A zero

• A perfect square

How do you handle a variable with an odd exponent under a square root?

• Divide the exponent by three

• Subtract one from the exponent and then divide by two

• Multiply the exponent by two

• Ignore the leftover

What is the square root of 144?

• 13

• 12

• 11

• 10

When simplifying the square root of 8, which perfect square is used?

• 6

• 8

• 4

• 2

What is the simplified form of the square root of 25?

• 3

• 4

• 5

• 6

How do you simplify the square root of 68?

• Break it into 16 and 4.25

• Break it into 8 and 8.5

• Break it into 4 and 17

• Break it into 2 and 34

If you have a variable with an exponent of 11, how do you simplify it under a square root?

• Divide by 3

• Multiply by 2

• Divide by 4

• Divide by 2 and handle the remainder