Take the cube root of a number using the product of cubed numbers, cuberoot(250)

Take the cube root of a number using the product of cubed numbers, cuberoot(250)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses methods for simplifying square and cube roots. It begins with an explanation of prime factorization and how it applies to square roots. The tutorial then introduces a method for simplifying cube roots by identifying multiples of known cubes, such as 8, 27, 64, and 125. This method is presented as easier than prime factorization due to the limited number of cubes. The video concludes by comparing the complexity of simplifying square roots versus cube roots, emphasizing the efficiency of the cube root method.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying a square root?

Taking out pairs of numbers

Finding the cube of the number

Dividing by 2

Multiplying by 10

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a cube of a number?

45

50

16

27

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you simplify the cube root of 250?

By rewriting it as 125 * 2

By subtracting 25

By dividing by 5

By adding 10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it easier to simplify cube roots compared to square roots?

There are fewer cube numbers to consider

Cube roots are always whole numbers

Cube roots are always smaller

Square roots require division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is not necessary when simplifying cube roots using the method discussed?

Addition

Prime factorization

Multiplication

Division