Solve sqrt[3]{125}-sqrt[3]{-8}+9sqrt[4]{1/81}

$$\sqrt[ 3 ]{ 125 } - \sqrt[ 3 ]{ -8 } +9 \sqrt[ 4 ]{ \frac{ 1 }{ 81 } }$$

Evaluate

$$10$$

Solution Steps

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

$$5-\sqrt[3]{-8}+9\sqrt[4]{\frac{1}{81}}$$

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

$$5-\left(-2\right)+9\sqrt[4]{\frac{1}{81}}$$

The opposite of -2 is 2.

$$5+2+9\sqrt[4]{\frac{1}{81}}$$

Add 5 and 2 to get 7.

$$7+9\sqrt[4]{\frac{1}{81}}$$

Calculate \sqrt[4]{\frac{1}{81}} and get \frac{1}{3}.

$$7+9\times \frac{1}{3}$$

Multiply 9 and \frac{1}{3} to get 3.

$$7+3$$

Add 7 and 3 to get 10.

$$10$$

Factor

$$2\times 5$$