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Cube Roots and Their Properties

Cube Roots and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to find the cube root of a negative number. It begins by breaking down the problem into simpler parts, showing that the cube root of a negative number can be expressed as the negative of the cube root of the positive counterpart. The video provides a mathematical explanation of this property and demonstrates the process with practical examples, such as finding the cube root of -3375 and -2744 using prime factorization.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the cube root of a negative number?

Divide the number by 3

Add 1 to the number

Express the number as a product of -1 and another number

Multiply the number by -1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express -X for cube root calculation?

As -1 multiplied by X

As X divided by -1

As X minus 1

As X plus 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property of cube roots is used to separate components?

Cube root of a sum is the sum of cube roots

Cube root of a product is the product of cube roots

Cube root of a quotient is the quotient of cube roots

Cube root of a difference is the difference of cube roots

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about cube roots?

Cube root of a product is the sum of cube roots

Cube root of a product is the difference of cube roots

Cube root of a product is the product of cube roots

Cube root of a product is the quotient of cube roots

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of -1?

-1

1

0

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of -1 multiplied by the cube root of X?

-X

1 multiplied by cube root of X

-1 multiplied by cube root of X

Cube root of X

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the cube root of a negative number?

As the negative of the cube root of the positive number

As the product of the cube root of the number and 1

As the positive of the cube root of the negative number

As the sum of the cube root of the number and -1

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