Solve sqrt{616}:11+8*3=

$$\sqrt { 616 } : 11 + 8 \cdot 3 =$$

Evaluate

$$\frac{2\sqrt{154}}{11}+24\approx 26.256304299$$

Short Solution Steps

Factor 616=2^{2}\times 154. Rewrite the square root of the product \sqrt{2^{2}\times 154} as the product of square roots \sqrt{2^{2}}\sqrt{154}. Take the square root of 2^{2}.

$$\frac{2\sqrt{154}}{11}+8\times 3$$

Multiply 8 and 3 to get 24.

$$\frac{2\sqrt{154}}{11}+24$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 24 times \frac{11}{11}.

$$\frac{2\sqrt{154}}{11}+\frac{24\times 11}{11}$$

Since \frac{2\sqrt{154}}{11} and \frac{24\times 11}{11} have the same denominator, add them by adding their numerators.

$$\frac{2\sqrt{154}+24\times 11}{11}$$

Do the multiplications in 2\sqrt{154}+24\times 11.

$$\frac{2\sqrt{154}+264}{11}$$

Factor

$$\frac{2 {(\sqrt{154} + 132)}}{11} = 26.256304299271065$$