Mastering Multiplication of Radicals with Variables

Mastering Multiplication of Radicals with Variables

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explains how to multiply radicals containing variables. It emphasizes that the index must be the same for multiplication, and outlines the steps: multiply coefficients, multiply radicands, and simplify the product. Two examples are provided: one with square roots and another with cube roots. The tutorial demonstrates finding prime factorizations to identify perfect square or cube factors for simplification. It also discusses when to use absolute values based on the index and exponent. The video concludes with a summary of the process and encourages viewers to practice the method.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be the same when multiplying radicals?

The radicands

The variables

The coefficients

The index

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the last step in simplifying the product of radicals?

Simplify the product

Multiply the coefficients

Multiply the radicands

Find the prime factorization

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in multiplying the square roots of 18x^3 and 30x^2?

Simplify the radicands

Multiply the coefficients

Find the prime factorization

Multiply the square roots

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of 18?

2 x 2 x 3

3 x 6

2 x 9

2 x 3 x 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you write x^5 to identify perfect square factors?

x^4 x x

x^2 x x^3

x^3 x x^2

x^2 x x^2 x x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the square root of 18x^3 times the square root of 30x^2?

3x^2 x sqrt(15x)

6x x sqrt(15x)

6x^2 x sqrt(15x)

3x x sqrt(15x)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you need to check if the index is even and the exponent on a variable is odd?

The absolute value

The prime factorization

The radicand

The coefficient

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