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

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

Avaliar

$$3$$

Passos Para a Resolução

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

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

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

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

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

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

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

$$3\sqrt{\frac{\frac{5}{2}}{2+\frac{1}{2}}}$$

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

$$3\sqrt{\frac{\frac{5}{2}}{\frac{5}{2}}}$$

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

$$3\sqrt{1}$$

Calcule a raiz quadrada de 1 e obtenha 1.

$$3\times 1$$

Multiplique 3 e 1 para obter 3.

$$3$$

Fatorizar

$$3$$