Solve sqrt[3]{-8}+sqrt[3]{27}+sqrt[3]{-64}+sqrt[3]{-1}

$$\sqrt[ 3 ] { - 8 } + \sqrt[ 3 ] { 27 } + \sqrt[ 3 ] { - 64 } + \sqrt[ 3 ] { - 1 }$$

Evaluate

$$-4$$

Solution Steps

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

$$-2+\sqrt[3]{27}+\sqrt[3]{-64}+\sqrt[3]{-1}$$

Calculate \sqrt[3]{27} and get 3.

$$-2+3+\sqrt[3]{-64}+\sqrt[3]{-1}$$

Add -2 and 3 to get 1.

$$1+\sqrt[3]{-64}+\sqrt[3]{-1}$$

Calculate \sqrt[3]{-64} and get -4.

$$1-4+\sqrt[3]{-1}$$

Subtract 4 from 1 to get -3.

$$-3+\sqrt[3]{-1}$$

Calculate \sqrt[3]{-1} and get -1.

$$-3-1$$

Subtract 1 from -3 to get -4.

$$-4$$

Factor

$$-4$$