Solve 2sqrt{3}div15/sqrt{3}*5sqrt{2}=

$$2 \sqrt { 3 } \div \frac { 15 } { \sqrt { 3 } } \times 5 \sqrt { 2 } =$$

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

Solution Steps

Divide 2\sqrt{3} by \frac{15}{\sqrt{3}} by multiplying 2\sqrt{3} by the reciprocal of \frac{15}{\sqrt{3}}.

$$5\times \frac{2\sqrt{3}\sqrt{3}}{15}\sqrt{2}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$5\times \frac{2\times 3}{15}\sqrt{2}$$

Multiply 2 and 3 to get 6.

$$5\times \frac{6}{15}\sqrt{2}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

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

Cancel out 5 and 5.

$$2\sqrt{2}$$