Solve frac{1+1+sqrt{2}}{1/6}

$$\frac { 1 + 1 + \sqrt { 2 } } { \frac { 1 } { 6 } }$$

Evaluate

$$6\sqrt{2}+12\approx 20.485281374$$

Solution Steps

Add 1 and 1 to get 2.

$$\frac{2+\sqrt{2}}{\frac{1}{6}}$$

Divide 2+\sqrt{2} by \frac{1}{6} by multiplying 2+\sqrt{2} by the reciprocal of \frac{1}{6}.

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

Use the distributive property to multiply 2+\sqrt{2} by 6.

$$12+6\sqrt{2}$$