Simplify Cube Roots

Front

What is a cube root?

Back

The cube root of a number x is a number y such that y^3 = x. It is denoted as ∛x.

Front

How do you simplify cube roots?

Back

To simplify cube roots, factor the number under the root 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 3^3 = 27.

Front

What is the cube root of 64?

Back

The cube root of 64 is 4, since 4^3 = 64.

Front

How do you express ∛(a^3) in simplest form?

Back

∛(a^3) = a.

Front

What is the simplified form of ∛(54)?

Back

The simplified form of ∛(54) is 3∛2.

Front

What is the prime factorization of 54?

Back

The prime factorization of 54 is 2 × 3^3.

Front

What is the cube root of a product?

Back

The cube root of a product is the product of the cube roots: ∛(a × b) = ∛a × ∛b.

Front

What is the cube root of a quotient?

Back

The cube root of a quotient is the quotient of the cube roots: ∛(a/b) = ∛a / ∛b.

Front

How do you simplify ∛(x^3y)?

Back

∛(x^3y) = x∛(y).