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

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

Avaliar

$$\frac{937}{576}\approx 1,626736111$$

Passos Para a Resolução

Multiplique \frac{3}{2} e \frac{1}{4} para obter \frac{3}{8}.

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

Multiplique \frac{1}{8} e \frac{10}{3} para obter \frac{5}{12}.

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

Some \frac{3}{8} e \frac{5}{12} para obter \frac{19}{24}.

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

Calcule \frac{19}{24} elevado a 2 e obtenha \frac{361}{576}.

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

Some \frac{361}{576} e 1 para obter \frac{937}{576}.

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

Fatorizar

$$\frac{937}{2 ^ {6} \cdot 3 ^ {2}} = 1\frac{361}{576} = 1,6267361111111112$$