Resolver ((2-1/4)*(3-1/2))^2-sqrt{9}

$$( ( 2 - \frac { 1 } { 4 } ) \cdot ( 3 - \frac { 1 } { 2 } ) ) ^ { 2 } - \sqrt { 9 }$$

Avaliar

$$\frac{1033}{64}=16,140625$$

Passos Para a Resolução

Subtraia \frac{1}{4} de 2 para obter \frac{7}{4}.

$$\left(\frac{7}{4}\left(3-\frac{1}{2}\right)\right)^{2}-\sqrt{9}$$

Subtraia \frac{1}{2} de 3 para obter \frac{5}{2}.

$$\left(\frac{7}{4}\times \frac{5}{2}\right)^{2}-\sqrt{9}$$

Multiplique \frac{7}{4} e \frac{5}{2} para obter \frac{35}{8}.

$$\left(\frac{35}{8}\right)^{2}-\sqrt{9}$$

Calcule \frac{35}{8} elevado a 2 e obtenha \frac{1225}{64}.

$$\frac{1225}{64}-\sqrt{9}$$

Calcule a raiz quadrada de 9 e obtenha 3.

$$\frac{1225}{64}-3$$

Subtraia 3 de \frac{1225}{64} para obter \frac{1033}{64}.

$$\frac{1033}{64}$$

Fatorizar

$$\frac{1033}{2 ^ {6}} = 16\frac{9}{64} = 16,140625$$