Radical Expressions and Binomial Multiplication

The video tutorial covers multiplying radical expressions, starting with the basics of multiplying cubic roots and moving on to more complex examples involving terms inside and outside radicals. It explains the use of the distributive property in radical multiplication and demonstrates how to multiply binomials containing radicals. The tutorial emphasizes the importance of simplification and the use of absolute values when dealing with radicals.

What is the result of multiplying the cubic root of 2 by the cubic root of 32?

• Cubic root of 64

• Cubic root of 34

• Cubic root of 8

• Cubic root of 16

What is the cubic root of 64?

• 3

• 4

• 5

• 2

When multiplying 2 * 4X outside the radicals, what is the result?

• 6X

• 8X

• 10X

• 12X

What is the simplified form of the square root of 81?

• 10

• 7

• 8

• 9

How do you simplify the expression 3 * 27 under a radical?

• Square root of 81

• Square root of 54

• Square root of 72

• Square root of 90

What is the result of multiplying the terms inside the radical 3 * 27?

• Square root of 90

• Square root of 81

• Square root of 54

• Square root of 72

What is the result of distributing 7x roots of x to 2 roots of XY?

• 12 square roots of x^2 y

• 18 square roots of x^2 y

• 14 square roots of x^2 y

• 16 square roots of x^2 y

What is the simplified form of 7 square roots of XY?

• 5 square roots of XY

• 6 square roots of XY

• 7 square roots of XY

• 8 square roots of XY

Why is the absolute value symbol used in radical expressions?

• To indicate the value is always negative

• To indicate the value is zero

• To indicate the value could be positive or negative

• To indicate the value is always positive

What is the importance of using absolute value symbols in radical expressions?

• To ensure the expression is always negative

• To account for both positive and negative values

• To simplify the expression

• To ensure the expression is always positive