Question

rationalise the above question attached in the picture... Quickest response will be marked brainliest

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Answer 1

$\huge\mathbb{A~N~S~W~E~R}$$<b>$

$= \frac{ \sqrt{6} }{ \sqrt{2} + \sqrt{3} } \\ \\ = \frac{ \sqrt{6} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} } \\ \\ = \frac{ \sqrt{6}( \sqrt{2 } - \sqrt{3}) }{( \sqrt{2} + \sqrt{3)} ( \sqrt{2} - \sqrt{3}) } \\ \\ = \frac{ \sqrt{12} - \sqrt{18} }{2 - 3} \\ \\ = \sqrt{12} - \sqrt{18}$

${\large\color{Red}{~Answer~is~\sqrt{12}-\sqrt{18} }}$

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