Q. 8.4TI - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

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

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,

$$\begin{gathered} \sqrt{-121} \\ =\sqrt{-121} is not a real number \end{gathered}$$

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