Solve 2sin60^circ+15-21+(-1)^-1-sqrt[3]{-8}

$$2 \sin 60 ^ { \circ } + 15 - 21 + ( - 1 ) ^ { - 1 } - \sqrt[ 3 ] { - 8 }$$

Evaluate

$$\sqrt{3}-5\approx -3.267949192$$

Solution Steps

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

$$2\times \frac{\sqrt{3}}{2}+15-21+\left(-1\right)^{-1}-\sqrt[3]{-8}$$

Cancel out 2 and 2.

$$\sqrt{3}+15-21+\left(-1\right)^{-1}-\sqrt[3]{-8}$$

Subtract 21 from 15 to get -6.

$$\sqrt{3}-6+\left(-1\right)^{-1}-\sqrt[3]{-8}$$

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

$$\sqrt{3}-6-1-\sqrt[3]{-8}$$

Subtract 1 from -6 to get -7.

$$\sqrt{3}-7-\sqrt[3]{-8}$$

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

$$\sqrt{3}-7-\left(-2\right)$$

The opposite of -2 is 2.

$$\sqrt{3}-7+2$$

Add -7 and 2 to get -5.

$$\sqrt{3}-5$$