Question

Help!!!
√(x+h) - √(x) / √(x+h) + √(x)

Answer 1

what are you supposed to do with it?

Answer 2

Simplify it, sorry I should have written that before

Answer 3

you can rationalize the numerator by multiplying top and bottom by \(\sqrt{x+h}+\sqrt{x}\)

Answer 4

or maybe this is a bit harder, perhaps you have to rationalize both the top and bottom

Answer 5

\[\frac{\sqrt{x+h}-\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}\times \frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}\]give
\[\frac{x+h-x}{(\sqrt{x+h}+\sqrt{x})^2}\]

Answer 6

not really sure what "simplify" means in this context
it could be
\[\frac{h}{(\sqrt{x+h}+\sqrt{x})^2}\] or
\[\frac{(\sqrt{x+h}-\sqrt{x})^2}{h}\]

Answer 7

"simplify" the lazy math teacher's way of saying "give me the answer i want"

Answer 8

Thanks for helping lol this problem made me so lost

Answer 9

so that's meant examiner s are also lazy
they are just looking for the answer " bubble sheets" direct answers! ;) :D
too bad ahh :(