Solve frac{frac{sqrt{2}}{2}*4sqrt{3}}{0,86}

$$\frac { \frac { \sqrt { 2 } } { 2 } \times 4 \sqrt { 3 } } { 0,86 }$$

Evaluate

$$\frac{100\sqrt{6}}{43}\approx 5.696487774$$

Solution Steps

Cancel out 2, the greatest common factor in 4 and 2.

$$\frac{2\sqrt{2}\sqrt{3}}{0,86}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$\frac{2\sqrt{6}}{0,86}$$

Divide 2\sqrt{6} by 0,86 to get \frac{100}{43}\sqrt{6}.

$$\frac{100}{43}\sqrt{6}$$