Question

How do I solve this problem?
6³√/16 + ³√128

Answer 1

16∛2

Explanation:

It looks like you want to simplify ...

6∛16 +∛128

Simplifying radicals

Radicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.

`6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}`