Question

Simplify: ⓐ $\sqrt{16}$ ⓑ $\sqrt{196}$ ⓒ $-\sqrt{100}$.

Short answer

On simplifying the we get the result as

ⓐ 4

ⓑ 14

ⓒ −10

Step-by-step solution

Step 1. Given information 

The given numbers are

$\begin{array}{l}a)\sqrt{16}\\ b)\sqrt{196}\\ c)-\sqrt{100}\end{array}$

We have to simplify the terms.

Step 2. calculate the square root for part (a) 

$\begin{array}{l}\text{Wehave}\sqrt{16}\\ {\text{Since4}}^2=16\\ \text{Thus,}\\ \Rightarrow \sqrt{16}=4\end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l}\text{Wehave}\sqrt{196}\\ {\text{Since14}}^2=196\\ \text{Thus,}\\ \Rightarrow \sqrt{196}=14\end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l}\text{Wehave}-\sqrt{100}\\ {\text{Since10}}^2=100\\ \text{Thenegativeisinfrontoftheradicalsign.}\\ \text{Thus,}\\ \Rightarrow -\sqrt{100}=-10\end{array}$