Chapter A.1, Problem 25E

Solution

Use the information from the grapher screens below to evaluate the expressions.

  $2.1$ .

Given:

The given expression is $\sqrt[4]{19.4481}$ .

  

Calculation:

The given expression is $\sqrt[4]{19.4481}$ .

As from given graph $19.4481={2.1}^4$ .

  $\begin{array}{c}\sqrt[4]{19.4481}=\sqrt[4]{{(2.1)}^4}\\ ={\left({(2.1)}^4\right)}^{1/4}\\ ={2.1}^{4\cdot \frac{1}{4}}\\ ={2.1}^{\frac{4}{4}}\\ ={2.1}^1\\ =2.1\end{array}$

Thus $\sqrt[4]{19.4481}=2.1$