Solve frac{22sqrt{3}}{4}*9sqrt{3}

$$\frac { 22 \sqrt { 3 } } { 4 } \cdot 9 \sqrt { 3 }$$

Evaluate

$$\frac{297}{2}=148.5$$

Solution Steps

Divide 22\sqrt{3} by 4 to get \frac{11}{2}\sqrt{3}.

$$9\times \frac{11}{2}\sqrt{3}\sqrt{3}$$

Express 9\times \frac{11}{2} as a single fraction.

$$\frac{9\times 11}{2}\sqrt{3}\sqrt{3}$$

Multiply 9 and 11 to get 99.

$$\frac{99}{2}\sqrt{3}\sqrt{3}$$

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

$$\frac{99}{2}\times 3$$

Express \frac{99}{2}\times 3 as a single fraction.

$$\frac{99\times 3}{2}$$

Multiply 99 and 3 to get 297.

$$\frac{297}{2}$$

Factor

$$\frac{3 ^ {3} \cdot 11}{2} = 148\frac{1}{2} = 148.5$$