Q. 222 - Intermediate Algebra

Question

Simplify:

$8\sqrt[4]{13}-4\sqrt[4]{13}-3\sqrt[4]{13}$

Step-by-Step Solution

Answer

The value of the given expression is $\sqrt[4]{13}$

Step 1. Given information

The given expression is:

$8\sqrt[4]{13}-4\sqrt[4]{13}-3\sqrt[4]{13}$

Step 2. Simplify the expression

Like radicals can be added or subtracted so,

$$\begin{gathered} 8\sqrt[4]{13}-4\sqrt[4]{13}-3\sqrt[4]{13} \\ 8\sqrt[4]{13}-7\sqrt[4]{13} \\ \sqrt[4]{13} \end{gathered}$$