Question

Simplify:$\left(a\right)-\sqrt{64}\left(b\right)\sqrt{225}$

Short answer

The solution for (a) and (b) are$-8and15$respectively.

Step-by-step solution

Part (a). Step 1. Given information

The root:$-\sqrt{64}$

Part (a). Step 2. Calculation

We have,

$$\begin{gathered} -\sqrt{64} \\ =-8 \end{gathered}$$

Since, $8^2=64$and the negative is in front of the radical sign.

Therefore, the solution is$-8$

Part (b). Step 1. Given information

The root:$\sqrt{225}$

Part (b). Step 2. Calculation

We have,

$$\begin{gathered} \sqrt{225} \\ =15 \end{gathered}$$

Since, ${15}^2=225$

Therefore, the solution is$15$