Solve -sqrt[3]{27}+sqrt[4]{81/16}-sqrt[5]{-243}

$$- \sqrt[ 3 ]{ 27 } + \sqrt[ 4 ]{ \frac{ 81 }{ 16 } } - \sqrt[ 5 ]{ -243 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

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

$$-3+\sqrt[4]{\frac{81}{16}}-\sqrt[5]{-243}$$

Calculate \sqrt[4]{\frac{81}{16}} and get \frac{3}{2}.

$$-3+\frac{3}{2}-\sqrt[5]{-243}$$

Add -3 and \frac{3}{2} to get -\frac{3}{2}.

$$-\frac{3}{2}-\sqrt[5]{-243}$$

Calculate \sqrt[5]{-243} and get -3.

$$-\frac{3}{2}-\left(-3\right)$$

The opposite of -3 is 3.

$$-\frac{3}{2}+3$$

Add -\frac{3}{2} and 3 to get \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$