Solve (3/2*1/4+1/8*10/3)^2+1

$$( \frac { 3 } { 2 } \cdot \frac { 1 } { 4 } + \frac { 1 } { 8 } \cdot \frac { 10 } { 3 } ) ^ { 2 } + 1$$

Evaluate

$$\frac{937}{576}\approx 1.626736111$$

Solution Steps

Multiply \frac{3}{2} and \frac{1}{4} to get \frac{3}{8}.

$$\left(\frac{3}{8}+\frac{1}{8}\times \frac{10}{3}\right)^{2}+1$$

Multiply \frac{1}{8} and \frac{10}{3} to get \frac{5}{12}.

$$\left(\frac{3}{8}+\frac{5}{12}\right)^{2}+1$$

Add \frac{3}{8} and \frac{5}{12} to get \frac{19}{24}.

$$\left(\frac{19}{24}\right)^{2}+1$$

Calculate \frac{19}{24} to the power of 2 and get \frac{361}{576}.

$$\frac{361}{576}+1$$

Add \frac{361}{576} and 1 to get \frac{937}{576}.

$$\frac{937}{576}$$

Factor

$$\frac{937}{2 ^ {6} \cdot 3 ^ {2}} = 1\frac{361}{576} = 1.6267361111111112$$