Solve 74/78%+14^2+14sqrt{14}

$$\frac{ 74 }{ 78 } \% + { 14 }^{ 2 } +14 \sqrt{ 14 }$$

Evaluate

$$14\sqrt{14}+\frac{764437}{3900}\approx 248.392690594$$

Solution Steps

Express \frac{\frac{74}{78}}{100} as a single fraction.

$$\frac{74}{78\times 100}+14^{2}+14\sqrt{14}$$

Multiply 78 and 100 to get 7800.

$$\frac{74}{7800}+14^{2}+14\sqrt{14}$$

Reduce the fraction \frac{74}{7800} to lowest terms by extracting and canceling out 2.

$$\frac{37}{3900}+14^{2}+14\sqrt{14}$$

Calculate 14 to the power of 2 and get 196.

$$\frac{37}{3900}+196+14\sqrt{14}$$

Convert 196 to fraction \frac{764400}{3900}.

$$\frac{37}{3900}+\frac{764400}{3900}+14\sqrt{14}$$

Since \frac{37}{3900} and \frac{764400}{3900} have the same denominator, add them by adding their numerators.

$$\frac{37+764400}{3900}+14\sqrt{14}$$

Add 37 and 764400 to get 764437.

$$\frac{764437}{3900}+14\sqrt{14}$$

Factor

$$\frac{54600 \sqrt{14} + 764437}{3900} = 248.39269059432235$$