Solve 12sqrt{78}*12div87+78/4+45

$$12 \sqrt{ 78 } \times 12 \div 87+ \frac{ 78 }{ 4 } +45$$

Evaluate

$$\frac{48\sqrt{78}}{29}+\frac{129}{2}\approx 79.118086951$$

Solution Steps

Multiply 12 and 12 to get 144.

$$\frac{144\sqrt{78}}{87}+\frac{78}{4}+45$$

Divide 144\sqrt{78} by 87 to get \frac{48}{29}\sqrt{78}.

$$\frac{48}{29}\sqrt{78}+\frac{78}{4}+45$$

Reduce the fraction \frac{78}{4} to lowest terms by extracting and canceling out 2.

$$\frac{48}{29}\sqrt{78}+\frac{39}{2}+45$$

Convert 45 to fraction \frac{90}{2}.

$$\frac{48}{29}\sqrt{78}+\frac{39}{2}+\frac{90}{2}$$

Since \frac{39}{2} and \frac{90}{2} have the same denominator, add them by adding their numerators.

$$\frac{48}{29}\sqrt{78}+\frac{39+90}{2}$$

Add 39 and 90 to get 129.

$$\frac{48}{29}\sqrt{78}+\frac{129}{2}$$

Factor

$$\frac{3 {(32 \sqrt{78} + 1247)}}{58} = 79.11808695116333$$