Question

Simplify:$\left(a\right)-\sqrt{49}$ $\left(b\right)\sqrt{-121}$

Short answer

The solution of (a) is$-7$and (b) is there is no real number.

Step-by-step solution

Part (a). Step 1. Given information

The root:$-\sqrt{49}$

Part (b) Step 2. Calculation

We have,

$$\begin{gathered} -\sqrt{49} \\ =-7 \end{gathered}$$

Since, $7^2=49$and the negative is in front of the radical sign.

Therefore, the solution is$-7$

Part (b). Step 1, Given information

The root:$\sqrt{-121}$

Part (b). Step 2. Calculation

We have,

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

There is no real number whose square is$\sqrt{-121}$