Q. 2 - Intermediate Algebra

Question

Simplify the given value.

.ⓐ $\sqrt{169}$ ⓑ $-\sqrt{100}$ 

Step-by-Step Solution

Answer

Part (a)$\Rightarrow \sqrt{169}=13$

Part (b) $\Rightarrow -\sqrt{100} =-10$

Part (a) step 1. Given information

ⓐ $\sqrt{169}$

Simplify the given value.

Step 2. Explanation

Since $\begin{array}{l}\Rightarrow {\left(13\right)}^2=169\\ \Rightarrow \sqrt{169}=\sqrt{{\left(13\right)}^2}\\ =13\end{array}$

Step 3. Part (b) Given inforamtion

 ⓑ $-\sqrt{100}$

Simplify the given value

Step 4. Explanation

Since $\begin{array}{l}\Rightarrow {\left(10\right)}^2=100\\ \Rightarrow -\sqrt{100}=-\sqrt{{\left(10\right)}^2}\\ =-10\end{array}$