Resolver sqrt{9(1-1/3)^2-3/2/2+frac{1{2}}}

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

Avaliar

$$1$$

Passos Para a Resolução

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

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

Calcule \frac{2}{3} elevado a 2 e obtenha \frac{4}{9}.

$$\sqrt{\frac{9\times \frac{4}{9}-\frac{3}{2}}{2+\frac{1}{2}}}$$

Multiplique 9 e \frac{4}{9} para obter 4.

$$\sqrt{\frac{4-\frac{3}{2}}{2+\frac{1}{2}}}$$

Subtraia \frac{3}{2} de 4 para obter \frac{5}{2}.

$$\sqrt{\frac{\frac{5}{2}}{2+\frac{1}{2}}}$$

Some 2 e \frac{1}{2} para obter \frac{5}{2}.

$$\sqrt{\frac{\frac{5}{2}}{\frac{5}{2}}}$$

Dividir \frac{5}{2} por \frac{5}{2} para obter 1.

$$\sqrt{1}$$

Calcule a raiz quadrada de 1 e obtenha 1.

$$1$$

Fatorizar

$$1$$