Solve (1/2sqrt{5})*(1/3sqrt{5})

$$( \frac { 1 } { 2 } \sqrt { 5 } ) \times ( \frac { 1 } { 3 } \sqrt { 5 } )$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply \sqrt{5} and \sqrt{5} to get 5.

$$\frac{1}{2}\times 5\times \frac{1}{3}$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{5}{2}\times \frac{1}{3}$$

Multiply \frac{5}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{2\times 3}$$

Do the multiplications in the fraction \frac{5\times 1}{2\times 3}.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$