Solve 24/14+85*sqrt{12}

$$\frac{ 24 }{ 14+85 } \times \sqrt{ 12 }$$

Evaluate

$$\frac{16\sqrt{3}}{33}\approx 0.83978221$$

Solution Steps

Add 14 and 85 to get 99.

$$\frac{24}{99}\sqrt{12}$$

Reduce the fraction \frac{24}{99} to lowest terms by extracting and canceling out 3.

$$\frac{8}{33}\sqrt{12}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{8}{33}\times 2\sqrt{3}$$

Express \frac{8}{33}\times 2 as a single fraction.

$$\frac{8\times 2}{33}\sqrt{3}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{33}\sqrt{3}$$