Chapter 1.3, Problem 36P

Compare the numbers in each exercise using an inequality symbol.

$\sqrt{25},\sqrt{64}$

To determine

The given numbers by using an inequality sign.

Answer to Problem 36P

By using inequality sign, it can be written as $\sqrt{25}<\sqrt{64}$ .

Explanation of Solution

Given information:

The numbers given $\sqrt{25}$ and $\sqrt{64}$ .

Calculation:

The numbers given $\sqrt{25}$ and $\sqrt{64}$ .

By simplifying the numbers, we will get,

  $\sqrt{25}=\sqrt{5\times 5}=5$

Also,

  $\sqrt{64}=\sqrt{8\times 8}=8$

So, 5 is less than 8.

  $\therefore$ By using inequality we can write,

  $\begin{array}{l}5<8\\ \Rightarrow \sqrt{25}<\sqrt{64}\end{array}$