Solve 100*9sqrt{27}:3

$$100 \cdot 9 \sqrt { 27 } : 3$$

Evaluate

$$900\sqrt{3}\approx 1558.845726812$$

Solution Steps

Multiply 9 and 100 to get 900.

$$\frac{900\sqrt{27}}{3}$$

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$\frac{900\times 3\sqrt{3}}{3}$$

Multiply 900 and 3 to get 2700.

$$\frac{2700\sqrt{3}}{3}$$

Divide 2700\sqrt{3} by 3 to get 900\sqrt{3}.

$$900\sqrt{3}$$