Chapter 1.6, Problem 18P

Simplify each expression.

$-\sqrt{0.81}$

To determine

To simplify: the expression $-\sqrt{0.81}$ .

Answer to Problem 18P

The expression is simplified to $-0.9$ .

Explanation of Solution

Given:

The expression is $-\sqrt{0.81}$ .

Calculation:

The expression is simplified as follows:

  $\begin{array}{l}\Rightarrow -\sqrt{0.81}\\ \Rightarrow -\sqrt{\frac{81}{100}}\\ \Rightarrow -\sqrt{\frac{9\times 9}{10\times 10}}\\ \Rightarrow -\frac{9}{10}\\ \Rightarrow -0.9\end{array}$

Thus, the expression is simplified to $-0.9$ .