Q. 1 - Intermediate Algebra

Question

In the following exercises, simplify. 

ⓐ $\sqrt{64}$ ⓑ $-\sqrt{81}$ 

Step-by-Step Solution

Answer

Part (a) $\Rightarrow \sqrt{64} =8$

Part (b)$-\sqrt{81} =-9$

Part (a) Step 1. Given information

ⓐ $\sqrt{64}$

 simplify the given value.

Step 2. Explanation

Since $8^2 = 64$

$$\begin{gathered} \Rightarrow \sqrt{64}=\sqrt{{\left(8\right)}^2} \\ \Rightarrow 8 \end{gathered}$$

Step 3. part (b) Given information

ⓑ$-\sqrt{81}$ 

To simplify.

Step 4. Explanation

Since $9^2 = 81$the negative is in front of the radical sign.

$$\begin{gathered} \Rightarrow -\sqrt{81} =-\sqrt{{\left(9\right)}^2} \\ \Rightarrow -9 \end{gathered}$$