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help. square root u - square root v / square root u + square root v
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\[(\sqrt{u}-\sqrt{v})/\sqrt{u}+\sqrt{v}\]
we can Rationalize radicals in denominator i think Using conjugate of \( \sqrt{u}+\sqrt{v} \)
and then what
thats it, once you rationalize the denominator, you are done simplifying the expression
\(\huge \frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}+\sqrt{v}}=\frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}+\sqrt{v}}\frac{\sqrt{u}-\sqrt{v}}{\sqrt{u}-\sqrt{v}} \) can u simplify it further?
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my teacher gave us the answer and we have to show the work and the answer is u-2\[\sqrt{uv}\]+v/u-v
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