Cube Roots and Higher Roots Worksheet with Answer Key

What's on the worksheet

1. Evaluate each cube root expression without a calculator:
   \sqrt[3]{-125}\sqrt[3]{-\frac{125}{512}}\sqrt[3]{0.008}2\sqrt[3]{64} - \sqrt[3]{1000}\sqrt[3]{-27} \cdot \sqrt[3]{8}
2. Solve each equation over the real numbers and check your answer:
   \dfrac{2}{x^3} = 163x^3 = x^3 - 544x^3 - x^3 = 192x^3 - 0.5 = -0.564(2x - 1)^3 = 125
3. Word problem: the edge length of smaller cubes cut from a clay cube.
4. Put cube roots and whole numbers in order, showing the cubes you compare.
5. Find the whole number root index that makes each statement true:
6. Find cube roots of large and small decimals, and check Mateo's decimal point idea.
7. Word problem: compare the edges of large and small cube-shaped gift boxes.