Solve 78/111+5^2*sqrt{82}

$$\frac{ 78 }{ 111 } + { 5 }^{ 2 } \times \sqrt{ 82 }$$

Evaluate

$$25\sqrt{82}+\frac{26}{37}\approx 227.087331156$$

Solution Steps

Reduce the fraction \frac{78}{111} to lowest terms by extracting and canceling out 3.

$$\frac{26}{37}+5^{2}\sqrt{82}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{26}{37}+25\sqrt{82}$$

Factor

$$\frac{925 \sqrt{82} + 26}{37} = 227.08733115613816$$