Question Video: Evaluating Numerical Expressions Involving Cube Roots with Negative Numbers Mathematics • Second Year of Preparatory School

Video Transcript

Find the value of the cube root of negative 1000 over 729 plus the cube root of 27 over 1000.

We should recognize immediately that all of the numbers here are perfect cubes. Our sum, therefore, simplifies to negative 10 over nine plus three over 10. Putting these over a common denominator of 90, we have negative 73 over 90.