Solve 4/5sqrt{2}

$$\frac { 4 } { 5 \sqrt { 2 } }$$

Evaluate

$$\frac{2\sqrt{2}}{5}\approx 0.565685425$$

Solution Steps

Rationalize the denominator of \frac{4}{5\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{4\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{4\sqrt{2}}{5\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\sqrt{2}}{5}$$