Chapter 1.3, Problem 39P

Compare the numbers in each exercise using an inequality symbol.

$\sqrt{81},-\sqrt{121}$

To determine

The given numbers by using an inequality sign.

Answer to Problem 39P

By using inequality sign, it can be written as $\sqrt{81}>-\sqrt{121}$ .

Explanation of Solution

Given information: The numbers given $\sqrt{81}$ and $-\sqrt{121}$ .

Calculation:

The numbers given $\sqrt{81}$ and $-\sqrt{121}$ .

By simplifying the numbers, we will get,

$\sqrt{81}=\sqrt{9\times 9}=9$

Also,

$-\sqrt{121}=-\sqrt{11\times 11}=-11$

So, -11 is less than 9.

$\therefore$ By using inequality we can write,

$\begin{array}{l}9>-11\\ \Rightarrow \sqrt{81}>-\sqrt{121}\end{array}$