Solve frac{1/sqrt{2}*10}{9,81}

$$\frac { \frac { 1 } { \sqrt { 2 } } \cdot 10 } { 9,81 }$$

Evaluate

$$\frac{500\sqrt{2}}{981}\approx 0.72080202$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{10\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{9,81}$$

The square of \sqrt{2} is 2.

$$\frac{10\times \frac{\sqrt{2}}{2}}{9,81}$$

Cancel out 2, the greatest common factor in 10 and 2.

$$\frac{5\sqrt{2}}{9,81}$$

Divide 5\sqrt{2} by 9,81 to get \frac{500}{981}\sqrt{2}.

$$\frac{500}{981}\sqrt{2}$$