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

Simplify ∛54.

Back

∛54 = ∛(27 * 2) = 3∛2.

Front

What is the prime factorization of 144?

Back

The prime factorization of 144 is 2^4 * 3^2.

Front

How do you express ∛(a^3 * b)?

Back

∛(a^3 * b) = a * ∛b.

Front

What is the value of ∛(x^3)?

Back

The value of ∛(x^3) is x.

Front

If ∛x = 2, what is x?

Back

If ∛x = 2, then x = 2^3 = 8.

Front

What is the simplified form of ∛(8x^3)?

Back

The simplified form of ∛(8x^3) is 2x.