Simplify the square root expression
$$\dfrac{\sqrt{2}+\sqrt{6} }{1+\sqrt{3} } $$

Question

Simplify the square root expression
$$\dfrac{\sqrt{2}+\sqrt{6}    }{1+\sqrt{3}    }  $$

Uniteasy Admin · Accepted Answer

$$\dfrac{\sqrt{2}+\sqrt{6}  }{1+\sqrt{3}  } $$
$$=\sqrt{  \Big( \dfrac{\sqrt{2}+\sqrt{6}  }{1+\sqrt{3}  }\Big)^2} $$
$$=\sqrt{\dfrac{8+4\sqrt{3} }{4+2\sqrt{3} } }=2 $$

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