Chapter A.1, Problem 26E

Solution

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

  $1.5$ .

Given:

The given expression is $\sqrt[3]{3.375}$ .

  

Calculation:

The given expression is $\sqrt[3]{3.375}$ .

As from given graph $3.375={1.5}^3$ .

  $\begin{array}{c}\sqrt[3]{3.375}=\sqrt[3]{{(1.5)}^3}\\ ={\left({(1.5)}^3\right)}^{1/3}\\ ={1.5}^{3\cdot \frac{1}{3}}\\ ={1.5}^{\frac{3}{3}}\\ ={1.5}^1\\ =1.5\end{array}$

Thus $\sqrt[3]{3.375}=1.5$