Solving Cube Root Equations

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

Back

To solve, take the cube root of both sides: x = ∛27 = 3.

Front

What is the principle of isolating the variable in cube root equations?

Back

To isolate the variable, you can cube both sides of the equation after moving all terms involving the variable to one side.

Front

Back

x = ∛(64 * 3) = ∛192.

Front

Back

x = 0.

Front

How do you check the solution of a cube root equation?

Back

Substitute the solution back into the original equation to verify both sides are equal.

Front

What is the cube of a negative number?

Back

The cube of a negative number is negative. For example, (-2)^3 = -8.

Front

Back

x = ∛(-27) = -3.

Front

What is the relationship between cube roots and exponents?

Back

Cube roots can be expressed as exponents: ∛x = x^(1/3).

Front

Back

x = ∛(125) = 5.