Q. 9 - Intermediate Algebra

Question

ⓐ $-\sqrt{225}$ ⓑ $\sqrt{-9}$ 

Step-by-Step Solution

Answer

Part (a) $-\sqrt{225}=-15$

Part (b) $\sqrt{-9}$is not real number.

Part (a) Sep 1. Given information

(a)$-\sqrt{225}$

Simplify the given value.

Step 2. Explanaiton

Since $\begin{array}{l}\Rightarrow {\left(15\right)}^2=225\\ \Rightarrow -\sqrt{225}=\sqrt{{\left(15\right)}^2}\\ \Rightarrow -15\end{array}$

Part(b) Step 3. Given informaion

(b)$\sqrt{-9}$

 simplify the given value.

Step 4. Explanation

 Since any positive number squared is positive. 

Any negative number squared is positive. 

There is no real number equal to $\sqrt{-9}$.

The square root of a negative number is not a real number.