Simplifying Radicals with Mrs. Preston

Mrs. Preston's video tutorial covers simplifying roots and radical expressions. It begins with an introduction to nth roots, radicands, and indices, followed by examples of finding real number roots. The tutorial then explains how to simplify radical expressions involving numbers and variables, and demonstrates techniques for multiplying and dividing radicals. Finally, it covers rationalizing denominators to eliminate radicals from the denominator of a fraction.

What is the nth root of B if A to the power of n equals B?

• None of the above

• n

• B

• A

What does the index of a radical expression indicate?

• The principal root

• The radicand

• The nth root

• The degree of the root

What is the cube root of -1000?

• 100

• -100

• 10

• -10

How many pairs of x's are there in x to the 10th under a square root?

• 5

• 20

• 10

• 2

What remains under the cube root when simplifying the cube root of 16x^4y^5?

• 2, x, and y^2

• 2 and y

• x and y^2

• 2 and x

When multiplying radicals with the same index, what can you do?

• Subtract their exponents

• Combine and multiply them together

• Leave them as separate radicals

• Divide them

How do you simplify the square root of 50x^5?

• 5x^2 square root of 2x

• 5 square root of 2x

• 5x^2 square root of 2

• 5x square root of 2

What is the cube root of 54n^8?

• 3n^3

• 3 and n^2 under the cube root

• 3n^2

• 3n^2 and n^2 under the cube root

What is the result of rationalizing the denominator of the square root of 3/5?

• Square root of 15 over 5

• Square root of 15 over 25

• Square root of 15 over 7

• Square root of 15

What is T in terms of D, given the equation and the need to rationalize the denominator?

• 7 square root of D

• Square root of D over 4.9

• Square root of 10D

• Square root of 10D over 7