Solve 2*sqrt[3]{-125}+4*sqrt[5]{32}-6*sqrt[3]{-8}

$$2 \cdot \sqrt[ 3 ] { - 125 } + 4 \cdot \sqrt[ 5 ] { 32 } - 6 \cdot \sqrt[ 3 ] { - 8 }$$

Evaluate

$$10$$

Solution Steps

Calculate \sqrt[3]{-125} and get -5.

$$2\left(-5\right)+4\sqrt[5]{32}-6\sqrt[3]{-8}$$

Multiply 2 and -5 to get -10.

$$-10+4\sqrt[5]{32}-6\sqrt[3]{-8}$$

Calculate \sqrt[5]{32} and get 2.

$$-10+4\times 2-6\sqrt[3]{-8}$$

Multiply 4 and 2 to get 8.

$$-10+8-6\sqrt[3]{-8}$$

Add -10 and 8 to get -2.

$$-2-6\sqrt[3]{-8}$$

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

$$-2-6\left(-2\right)$$

Multiply -6 and -2 to get 12.

$$-2+12$$

Add -2 and 12 to get 10.

$$10$$

Factor

$$2\times 5$$