1.

Rationalize the denominator 2root3/root2

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\frac{2 \sqrt{3} }{ \sqrt{2} } = \frac{2 \sqrt{3} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{2 \sqrt{6} }{2} = \sqrt{6}


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