My Calculus textbook (Stewart, Early Transcendentals, 8e) provides the following example:
[math]\frac{n}{\sqrt{10 + n}}[/math]
And then proceeds to the following expression:
[math]\frac{1}{\sqrt{\dfrac{10}{n^2} + \dfrac{1}{n}}}[/math]
I don't understand what happened to get from the first expression to the second, specifically how
[math]\frac{\sqrt{10 + n}}{n} = \sqrt{\frac{10}{n^2} + \frac{1}{n}}[/math]
Any help is appreciated.
[math]\frac{n}{\sqrt{10 + n}}[/math]
And then proceeds to the following expression:
[math]\frac{1}{\sqrt{\dfrac{10}{n^2} + \dfrac{1}{n}}}[/math]
I don't understand what happened to get from the first expression to the second, specifically how
[math]\frac{\sqrt{10 + n}}{n} = \sqrt{\frac{10}{n^2} + \frac{1}{n}}[/math]
Any help is appreciated.