Question

help.
square root u - square root v / square root u + square root v

Answer 1

\[(\sqrt{u}-\sqrt{v})/\sqrt{u}+\sqrt{v}\]

Answer 2

we can Rationalize radicals in denominator i think Using conjugate of \( \sqrt{u}+\sqrt{v} \)

Answer 3

and then what

Answer 4

thats it, once you rationalize the denominator, you are done simplifying the expression

Answer 5

\(\huge \frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}+\sqrt{v}}=\frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}+\sqrt{v}}\frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}-\sqrt{v}} \)

can u simplify it further?

Answer 6

my teacher gave us the answer and we have to show the work and the answer is u-2\[\sqrt{uv}\]+v/u-v