Resolver (2)-sqrt[3]{155/8}*sqrt{4/25}:quad(3)sqrt[3]{27}+(-sqrt{064})*sqrt{400}

$$( 2 ) - \sqrt[ 3 ] { 15 \frac { 5 } { 8 } } \times \sqrt { \frac { 4 } { 25 } } : \quad ( 3 ) \sqrt[ 3 ] { 27 } + ( - \sqrt { 064 } ) \times \sqrt { 400 }$$

Calcular

$$1$$

Pasos da solución

Multiplica 15 e 8 para obter 120.

$$2-\frac{\sqrt[3]{\frac{120+5}{8}}\sqrt{\frac{4}{25}}}{3}\sqrt[3]{27}+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Suma 120 e 5 para obter 125.

$$2-\frac{\sqrt[3]{\frac{125}{8}}\sqrt{\frac{4}{25}}}{3}\sqrt[3]{27}+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Calcular \sqrt[3]{\frac{125}{8}} e obter \frac{5}{2}.

$$2-\frac{\frac{5}{2}\sqrt{\frac{4}{25}}}{3}\sqrt[3]{27}+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Reescribe a raíz cadrada da división \frac{4}{25} como a división de raíces cadradas \frac{\sqrt{4}}{\sqrt{25}}. Obtén a raíz cadrada do numerador e o denominador.

$$2-\frac{\frac{5}{2}\times \frac{2}{5}}{3}\sqrt[3]{27}+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

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

$$2-\frac{1}{3}\sqrt[3]{27}+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Calcular \sqrt[3]{27} e obter 3.

$$2-\frac{1}{3}\times 3+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Multiplica \frac{1}{3} e 3 para obter 1.

$$2-1+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Resta 1 de 2 para obter 1.

$$1+\left(-\sqrt{0\times 64}\right)\sqrt{400}$$

Multiplica 0 e 64 para obter 0.

$$1+\left(-\sqrt{0}\right)\sqrt{400}$$

Calcular a raíz cadrada de 0 e obter 0.

$$1+0\sqrt{400}$$

Calcular a raíz cadrada de 400 e obter 20.

$$1+0\times 20$$

Multiplica 0 e 20 para obter 0.

$$1+0$$

Suma 1 e 0 para obter 1.

$$1$$

Factorizar

$$1$$