Here we will show you two different procedures you can use to calculate the cube root of 21 times the cube root of 6. In other words, we will show you how to calculate ∛21 × ∛6 two different ways.
Procedure 1
This is the straightforward approach, where you first find the cube root of each number and then multiply the results. Here's how it looks:
∛21 ≈ 2.7589
∛6 ≈ 1.8171
2.7589 × 1.8171 ≈ 5.0133
∛21 × ∛6 ≈ 5.0133
Procedure 2
This procedure is often the quickest. Since ∛21 × ∛6 is equivalent to ∛(34 × 56), you can first multiply the numbers and then find the cube root of the product. Here's the step-by-step:
21 × 6 = 126
∛126 ≈ 5.0133
∛21 × ∛6 ≈ 5.0133
Multiplying Cube Roots
Use the tool below to multiply another set of cube roots together:
Cube root of 21 times cube root of 7
Go here for another cube root multiplication problem that you may find interesting.