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Simplify the following (âˆš2+1)(1-âˆš12) + 10/(âˆš2+âˆš12)

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$=(\sqrt{2}+1)(1-\sqrt{12}) +\frac{10}{\sqrt{2}+ \sqrt{12}} \\ =\sqrt{2} - \sqrt{24 }+1-\sqrt{12}+\frac{10}{\sqrt{2}+ \sqrt{12}} \times \frac{\sqrt{12}- \sqrt{2}}{\sqrt{12} -\sqrt{2}} \\ =\sqrt{2} - \sqrt{24 }+1-\sqrt{12}+\frac{10}{10} \times (\sqrt{12}- \sqrt{2}) \\ =\sqrt{2} - \sqrt{24 }+1-\sqrt{12}+\sqrt{12}- \sqrt{2} \\ = 1- \sqrt{24}$

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Ravindra Pindel

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