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## Homework Statement

lim

[tex]_{}h\rightarrow0[/tex] ([tex]\sqrt{a+h}[/tex] - [tex]\sqrt{a}[/tex]) / h

3. ok so i multiplied by [tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]. The top simplified to a+ h -a, aka h. the bottom is h([tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]).

The h cancels, so I am left with

1 / ([tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]

how do i simplify this further?

thanks!