🔑Cube roots can be simplified by identifying cube numbers that can be multiplied by themselves three times.
🔑Negative cube roots follow the same rules as positive cube roots.
🔑When simplifying cube roots with variables, use the product rule of radicals to separate each value.
🔑Use the power rule to rewrite variables with exponents to a power that can be simplified as a cube root.
🔑Separate cube roots that can be simplified from those that cannot, and multiply the unsimplified terms together.
What is a cube root?
—A cube root is a number that when cubed, gives the original number. For example, the cube root of 8 is 2 because 2³ = 8.
Can cube roots be negative?
—Yes, cube roots can be negative. Negative cube roots follow the same rules as positive cube roots.
How do I simplify cube roots with variables?
—To simplify cube roots with variables, use the product rule of radicals to separate each value under its own cube root. Then, apply the power rule to rewrite variables with exponents to a power that can be simplified as a cube root.
What is the product rule of radicals?
—The product rule of radicals states that the cube root of a product is equal to the product of the cube roots of each factor.
What is the power rule?
—The power rule states that when an exponent is raised to another power, you can multiply the exponents together. For example, (m^3)^5 can be simplified as m^(3*5) = m^15.
00:00The video explains how to simplify cube roots using four examples.
00:32Cube roots can be simplified by identifying cube numbers that can be multiplied by themselves three times.
01:46Negative cube roots follow the same rules as positive cube roots.
03:35To simplify cube roots with variables, use the product rule of radicals to separate each value.
04:00Use the power rule to rewrite variables with exponents to a power that can be simplified as a cube root.
05:04Separate cube roots that can be simplified from those that cannot, and multiply the unsimplified terms together.
