Simplify : (2√6/√2+√3)+(6√2/√6+√3)-(8√3/√6+√2)
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Posted by Aaisha Rabia Shabuddin 2 years, 11 months ago
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Preeti Dabral 2 years, 11 months ago
{tex}\begin{aligned} & \Longrightarrow \frac{2 \sqrt{6}}{\sqrt{2}+\sqrt{3}} \times \frac{\sqrt{2}-\sqrt{3}}{\sqrt{2}-\sqrt{3}}+\frac{6 \sqrt{2}}{\sqrt{6}+\sqrt{3}} \times \frac{\sqrt{6}-\sqrt{3}}{\sqrt{6}-\sqrt{3}}-\frac{8 \sqrt{3}}{\sqrt{6}+\sqrt{2}} \times \frac{\sqrt{6}-\sqrt{2}}{\sqrt{6}-\sqrt{2}} \\ & \Longrightarrow \frac{4 \sqrt{3}-6 \sqrt{2}}{2-3}+\frac{12 \sqrt{3}-6 \sqrt{6}}{6-3}-\frac{24 \sqrt{2}-8 \sqrt{6}}{6-2} \\ & \Longrightarrow-4 \sqrt{3}+6 \sqrt{2}+\frac{12 \sqrt{3}-6 \sqrt{6}}{3}-\frac{24 \sqrt{2}-8 \sqrt{6}}{4} \\ & \Longrightarrow-4 \sqrt{3}+6 \sqrt{2}+4 \sqrt{3}-2 \sqrt{6}-6 \sqrt{2}+2 \sqrt{6} \\ & \Longrightarrow-4 \sqrt{3}+6 \sqrt{2}+4 \sqrt{3}-2 \sqrt{6}-6 \sqrt{2}+2 \sqrt{6} \\ & \Longrightarrow 0 \end{aligned}{/tex}
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