Simplify Cube Roots (with Variables)

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 the cube root of a variable expression, such as ∛(x^3)?

Back

∛(x^3) simplifies to x, since x^3 is a perfect cube.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3, because 3^3 = 27.

Front

How do you express the cube root of a product, such as ∛(abc)?

Back

∛(abc) can be expressed as ∛a * ∛b * ∛c.

Front

What is the cube root of a fraction, such as ∛(8/27)?

Back

∛(8/27) simplifies to ∛8 / ∛27, which equals 2/3.

Front

How do you simplify ∛(x^6)?

Back

∛(x^6) simplifies to x^2 * ∛(x), since x^6 = (x^2)^3.

Front

What is the cube root of -64?

Back

The cube root of -64 is -4, because (-4)^3 = -64.

Front

How do you simplify ∛(x^9y^3)?

Back

∛(x^9y^3) simplifies to x^3 * y, since x^9 = (x^3)^3 and y^3 = (y)^3.

Front

What is the cube root of 1?

Back

The cube root of 1 is 1, because 1^3 = 1.

Front

How do you simplify ∛(x^2y^5)?

Back

∛(x^2y^5) simplifies to ∛(x^2) * y * ∛(y^2), since y^5 = y^3 * y^2.