Question

Simplify: $\left(a\right)\sqrt{100}$

$\left(b\right)-\sqrt{121}$

Short answer

The solutions for (a) and (b) are$10and-11$respectively.

Step-by-step solution

Part (a). Step 1. Given information

The root:$\sqrt{100}$

Part (a). Step 2. Calculation

We have,

$$\begin{gathered} \sqrt{100} \\ =10 \end{gathered}$$

Since, ${10}^2=100$

Therefore, the solution is$10$

Part (b) Step 1. Given information

The root:$-\sqrt{121}$

Part (b). Step 2. Calculation

We have,

$$\begin{gathered} -\sqrt{121} \\ =-11 \end{gathered}$$

Since, ${11}^2=121$and the negative is in front of the radical sign.

Therefore, the solution is$-11$