Resolver sqrt[3]{8}-2sin60^circ+(-1)^0+(1/2)^-2

$$\sqrt[ 3 ] { 8 } - 2 \sin 60 ^ { \circ } + ( - 1 ) ^ { 0 } + ( \frac { 1 } { 2 } ) ^ { - 2 }$$

Calcular

$$7-\sqrt{3}\approx 5.267949192$$

Pasos da solución

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

$$2-2\sin(60)+\left(-1\right)^{0}+\left(\frac{1}{2}\right)^{-2}$$

Obtén o valor de \sin(60) a partir da táboa de valores trigonométricos.

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

Anula 2 e 2.

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

Calcula -1 á potencia de 0 e obtén 1.

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

Suma 2 e 1 para obter 3.

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

Calcula \frac{1}{2} á potencia de -2 e obtén 4.

$$3-\sqrt{3}+4$$

Suma 3 e 4 para obter 7.

$$7-\sqrt{3}$$