Question

Find the perimeter of the triangle and put your answer in the simplest radical form:

Answer 1

`14\sqrt[4]{5}+2\sqrt[3]{3}`

Explanation:

`3\sqrt[4]{80}+\sqrt[3]{24}+8\sqrt[4]{5}\\=3\sqrt[4]{16*5}+\sqrt[3]{8*3}+8\sqrt[4]{5}\\=(3*2)\sqrt[4]{5}+2\sqrt[3]{3}+8\sqrt[4]{5}\\=6\sqrt[4]{5}+2\sqrt[3]{3}+8\sqrt[4]{5}\\=14\sqrt[4]{5}+2\sqrt[3]{3}`