Simplifying Radicals and Cube Roots

Simplifying Radicals and Cube Roots

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

Mario from Mario's Math Tutoring introduces a method to simplify radicals using prime factorization. He explains the traditional method of dividing out perfect squares and its challenges. Mario then demonstrates the prime factorization method, breaking down numbers into prime factors and grouping them to simplify radicals. He provides examples with the square root of 72 and the cube root of 96, showing step-by-step simplification. The video concludes with encouragement to subscribe for more math tutorials.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common method taught by teachers to simplify radicals?

Subtracting numbers

Adding numbers

Using a calculator

Dividing out perfect squares

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the prime factorization method for simplifying radicals?

Break down the number into its prime factors

Divide the number by 10

Multiply the number by itself

Add the digits of the number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of simplifying the square root of 48, what is the result after simplification?

8 square root of 3

6 square root of 3

4 square root of 3

2 square root of 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a helpful tip for students who struggle to find factors of a number?

Divide by 2 if the number is even

Use a calculator

Multiply by 3

Subtract 5 from the number

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of simplifying the square root of 72, what is the simplified form?

8 square root of 2

10 square root of 2

6 square root of 2

12 square root of 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying cube roots, how many of the same number are you looking for?

Five

Three

Four

Two

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the cube root of 96?

4 times the cube root of 12

2 times the cube root of 12

5 times the cube root of 12

3 times the cube root of 12

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