Solve frac{sqrt{6}+sqrt{2}}{frac{sqrt{6}+sqrt{2}}{4}}

$$\frac{ \sqrt{ 6 } + \sqrt{ 2 } }{ \frac{ \sqrt{ 6 } + \sqrt{ 2 } }{ 4 } }$$

Evaluate

$$4$$

Solution Steps

Divide \sqrt{6}+\sqrt{2} by \frac{\sqrt{6}+\sqrt{2}}{4} by multiplying \sqrt{6}+\sqrt{2} by the reciprocal of \frac{\sqrt{6}+\sqrt{2}}{4}.

$$\frac{\left(\sqrt{6}+\sqrt{2}\right)\times 4}{\sqrt{6}+\sqrt{2}}$$

Cancel out \sqrt{2}+\sqrt{6} in both numerator and denominator.

$$4$$

Factor

$$2^{2}$$