N+100 times 1 / r=1.0 times 1.0 times sqrt(r)=

The given expression is:<br /><br />\[ N + 100 \times 1 / = 10 \times 10 \times \frac{\sqrt{V}}{V} \]<br /><br />To solve this, let's break it down step by step:<br /><br />1. **Evaluate the division and multiplication inside the expression:**<br /> \[ 100 \times 1 = 100 \]<br /> \[ 10 \times 10 = 100 \]<br /> \[ \frac{\sqrt{V}}{V} \]<br /><br />2. **Simplify \(\frac{\sqrt{V}}{V}\):**<br /> \[ \frac{\sqrt{V}}{V} = \frac{V^{1/2}}{V} = V^{1/2 - 1} = V^{-1/2} = \frac{1}{\sqrt{V}} \]<br /><br />3. **Combine the results:**<br /> \[ 100 \times 100 \times \frac{1}{\sqrt{V}} = 10000 \times \frac{1}{\sqrt{V}} = \frac{10000}{\sqrt{V}} \]<br /><br />So, the simplified expression is:<br /><br />\[ N + \frac{10000}{\sqrt{V}} \]<br /><br />Therefore, the final answer is:<br /><br />\[ N + \frac{10000}{\sqrt{V}} \]