Solving Equations Using Cube Roots (Example)

The video tutorial explains how to solve equations of the form x cubed equals a number by taking the cube root of both sides. It provides two examples: solving x cubed equals 125, which results in x equals 5, and solving x cubed equals 30, where the cube root is not a whole number. The tutorial demonstrates how to estimate the cube root of 30, showing it is approximately 3.11, and emphasizes the importance of checking solutions by substituting them back into the original equation.

Why can't the cube root of 30 be expressed as a whole number?

Estimate the value of the cube root of 30 based on nearby perfect cubes.