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

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

Evaluate

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

Solution Steps

Calculate \sqrt[3]{8} and get 2.

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

Get the value of \sin(60) from trigonometric values table.

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

Cancel out 2 and 2.

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

Calculate -1 to the power of 0 and get 1.

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

Add 2 and 1 to get 3.

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

Calculate \frac{1}{2} to the power of -2 and get 4.

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

Add 3 and 4 to get 7.

$$7-\sqrt{3}$$