Factoring and Simplifying Radicals

Factoring and Simplifying Radicals

Assessment

Interactive Video

Created by

Thomas White

Mathematics

9th - 10th Grade

Hard

The video tutorial explains how to convert between mixed and entire radicals, focusing on both square and cube roots. It covers methods for simplifying radicals using perfect squares and cubes, and discusses the process of factoring numbers. The tutorial also connects the concepts of powers and roots, providing rules for expressing roots as fractional powers. The video aims to help students understand these mathematical concepts and apply them in problem-solving.

Read more

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a mixed radical to an entire radical?

Divide the numbers by 2.

Add the numbers together.

Write the number as a square root.

Multiply the numbers directly.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express the number 3 as a square root?

Square root of 6

Square root of 15

Square root of 9

Square root of 12

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying two square roots together?

A sum of the square roots

A cube root of the product

Two separate square roots

A single square root of the product

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the number 2 as a cube root?

Cube root of 6

Cube root of 10

Cube root of 4

Cube root of 8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 48 when expressed as a single cube root?

Cube root of 12

Cube root of 24

Cube root of 48

Cube root of 36

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common method for factoring numbers to simplify radicals?

Using a calculator

Subtracting the numbers

Creating a factor tree

Adding the numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring 48, what is the correct breakdown using a factor tree?

5 x 5 x 2

4 x 4 x 3

3 x 3 x 3 x 3

2 x 2 x 2 x 2 x 3

Explore all questions with a free account

or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?