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Please solve 10sum.make it fast please

Consider, \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} \times \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}} = \frac{{(\sqrt{3} + \sqrt{2})}^{2}}{{(\sqrt{3})}^{2} - {(\sqrt{2})}^{2}} = \frac{3 + 2 + 2 \sqrt{6}}{3 - 2} = 5 + 2 \sqrt{6} One comparing with RHS, we get 5 + 2 \sqrt{6} = a + b \sqrt{6} a = 5 and b = 2 Note : x^{2} - y^{2} = (x + y) (x - y) {(x + y)}^{2} = x^{2} + y^{2} + 2 xy Similarly try other .

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