Simplifying Cube Roots with Variables

Front

What is a cube root?

Back

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

Front

How do you simplify cube roots with variables?

Back

To simplify cube roots with variables, factor the variable into perfect cubes and apply the cube root to each factor.

Front

What is the cube root of x³?

Back

The cube root of x³ is x.

Front

What is the cube root of 8x³?

Back

The cube root of 8x³ is 2x.

Front

How do you express the cube root of a product?

Back

The cube root of a product can be expressed as the product of the cube roots: ∛(a*b) = ∛a * ∛b.

Front

What is the cube root of 27y⁶?

Back

The cube root of 27y⁶ is 3y².

Front

How do you simplify the expression ∛(x³y)?

Back

The expression ∛(x³y) simplifies to x∛y.

Front

What is the cube root of a fraction?

Back

The cube root of a fraction a/b is equal to the cube root of the numerator divided by the cube root of the denominator: ∛(a/b) = ∛a / ∛b.

Front

What is the cube root of 64x⁹y²?

Back

The cube root of 64x⁹y² is 4x³∛(y²).

Front

How do you handle negative numbers when simplifying cube roots?

Back

The cube root of a negative number is negative. For example, ∛(-8) = -2.