# Square Roots and Radicals 8

Taught by YourMathGal
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Lesson Summary:

In this Square Roots and Radicals lesson, students will learn how to find the cube roots, fourth roots, and higher order roots of numbers and variable expressions. The lesson starts with a review of perfect cubes, perfect fourths, perfect fifths, and how to write them in radical form. Then, the teacher explains how to simplify cube roots and variables by finding the perfect cube factor. The lesson ends with an explanation of how to find the cube root of variables with exponents that are not multiples of 3.

Lesson Description:

Cube roots, fourth roots, and higher order roots of numbers and variable expressions are explained in this lesson.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
• What are some common perfect cubes?
• What are the values for 2^4, 3^4, 2^5, 2^6, 2^7, 2^8, 2^9, and 2^10?
• What root is a radical without a number in front of the radical sign?
• What is the index of a radical?
• What is the cube root of 64?
• What is the cube root of 27?
• What is the fourth root of 81?
• What does it mean to find a cube or fourth root?
• How do you simplify the cube root of 125?
• How do you simplify the fifth root of 32?
• How do you simplify the fourth root of 10000?
• What is the nth root of a^n?
• How do you simplify a cube root of a number that is not a perfect cube?
• How can you simplify the cube root of 40?
• How do you simplify the cube root of 54?
• How do you simplify the cube root of a variable expression?
• What is the cube root of m^24?
• How do you find the cube root of a variable to an exponent?
• What is the cube root of x^18?
• How do you simplify the cube root of m^14?
• #### Staff Review

• Currently 4.0/5 Stars.
This lessons starts to get into some higher order roots. Cube roots and fourth roots (and even higher) are shown and explained in this lesson. The concept of changing the index in front of the radical sign and computing answers or simplifying expressions is explained step by step. Also, higher roots of numbers and variable expressions are broken down and simplified. This is a great transition into higher order roots of expressions.