Solve frac{10sqrt{6}}{9}frac{2sqrt{3}}{3}*9sqrt{6}

$$\frac{ 10 \sqrt{ 6 } }{ 9 } \frac{ 2 \sqrt{ 3 } }{ 3 } \times 9 \sqrt{ 6 }$$

Evaluate

$$40\sqrt{3}\approx 69.282032303$$

Solution Steps

Cancel out 9 and 9.

$$10\sqrt{6}\times \frac{2\sqrt{3}}{3}\sqrt{6}$$

Express 10\sqrt{6}\times \frac{2\sqrt{3}}{3} as a single fraction.

$$\frac{10\sqrt{6}\times 2\sqrt{3}}{3}\sqrt{6}$$

Express \frac{10\sqrt{6}\times 2\sqrt{3}}{3}\sqrt{6} as a single fraction.

$$\frac{10\sqrt{6}\times 2\sqrt{3}\sqrt{6}}{3}$$

Multiply \sqrt{6} and \sqrt{6} to get 6.

$$\frac{10\times 6\times 2\sqrt{3}}{3}$$

Multiply 10 and 6 to get 60.

$$\frac{60\times 2\sqrt{3}}{3}$$

Multiply 60 and 2 to get 120.

$$\frac{120\sqrt{3}}{3}$$

Divide 120\sqrt{3} by 3 to get 40\sqrt{3}.

$$40\sqrt{3}$$