Solve 10/5sqrt{2*3sqrt{2}}

$$\frac{ 10 }{ 5 \sqrt{ 2 } \times 3 \sqrt{ 2 } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{10}{3\times 5\times 2}$$

Multiply 3 and 5 to get 15.

$$\frac{10}{15\times 2}$$

Multiply 15 and 2 to get 30.

$$\frac{10}{30}$$

Reduce the fraction \frac{10}{30} to lowest terms by extracting and canceling out 10.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$