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0606 P22 - Jun 2022 - Q1 - 3 marks
7823

Do not use a calculator in this question.

A curve has equation \(\displaystyle y=\frac{6+\sqrt{x}}{3+\sqrt{x}}\), where \(x\ge0\). Find the exact value of \(y\) when \(x=6\). Give your answer in the form \(a+b\sqrt{c}\), where \(a\), \(b\) and \(c\) are integers.

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