Chapter A.1, Problem 23E

Solution

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

  $1.3$ .

Given:

The given expression is $\sqrt{1.69}$ .

  

Calculation:

The given expression is $\sqrt{1.69}$ .

As from given graph $1.69={1.3}^2$ .

  $\begin{array}{c}\sqrt{1.69}=\sqrt{{(1.3)}^2}\\ ={\left({(1.3)}^2\right)}^{1/2}\\ ={1.3}^{2\cdot \frac{1}{2}}\\ ={1.3}^{\frac{2}{2}}\\ ={1.3}^1\\ =1.3\end{array}$

Thus $\sqrt{1.69}=1.3$