Simplifying Square and Cube Roots Mastery

The video tutorial from MooMooMath covers the process of simplifying square roots, cube roots, and negative exponents. It provides examples to illustrate the simplification of cube roots using factor trees, including handling perfect cubes. Additionally, it demonstrates how to simplify square roots involving fractions by treating them as separate problems. The tutorial aims to enhance understanding of these mathematical concepts through practical examples.

What are the three main topics covered in this tutorial?

• Graphing functions, plotting points, and finding slopes

• Solving linear equations, quadratic equations, and inequalities

• Simplifying fractions, decimals, and percentages

• Simplifying square roots, cube roots, and negative exponents

In the first example, what is the coefficient after simplifying 3 times the cube root of 32?

• 12

• 9

• 6

• 3

What is left inside the radical after simplifying 3 times the cube root of 32?

• Cube root of 8

• Cube root of 4

• Cube root of 16

• Cube root of 2

In the second example, what is the result of simplifying 4 times the cube root of 27?

• 20

• 24

• 12

• 16

What is the value of 12 squared?

• 132

• 144

• 120

• 156

How is the problem split in the third example?

• Square root of 18x and square root of a^6

• Square root of 18 and square root of x^6

• Square root of 18 and square root of x/a^6

• Square root of 18x/a and square root of 6

What is the simplified form of the square root of 18x?

• 3 square root 3

• 2 square root 2

• 3 square root 2

• 2 square root 3

What is the simplified form of a^6 under the square root?

• a^3

• a^2

• a^5

• a^4