Simplifying Cube Roots

Front

What is a cube root?

Back

A cube root of a number x is a number y such that y³ = x. It is denoted as ∛x.

Front

How do you simplify a cube root?

Back

To simplify a cube root, factor the number under the radical into its prime factors and group them into sets of three.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3, since 3³ = 27.

Front

What is the cube root of a product?

Back

The cube root of a product is the product of the cube roots of the factors, i.e., ∛(a*b) = ∛a * ∛b.

Front

How do you express a number as a cube root?

Back

To express a number as a cube root, you can write it in the form of ∛(n), where n is the number.

Front

What is the cube root of 64?

Back

The cube root of 64 is 4, since 4³ = 64.

Front

How do you handle cube roots of fractions?

Back

To simplify the cube root of a fraction, take the cube root of the numerator and the denominator separately: ∛(a/b) = ∛a / ∛b.

Front

What is the cube root of 1?

Back

The cube root of 1 is 1, since 1³ = 1.

Front

How do you simplify ∛(x³)?

Back

∛(x³) simplifies to x.

Front

What is the relationship between cube roots and exponents?

Back

The cube root of x can be expressed as x^(1/3).