Solve sqrt[3]{-1}+frac{sqrt[3]{8}+sqrt{4}}{sqrt{9+16}}

$$\sqrt[ 3 ] { - 1 } + \frac { \sqrt[ 3 ] { 8 } + \sqrt { 4 } } { \sqrt { 9 + 16 } }$$

Evaluate

$$-\frac{1}{5}=-0.2$$

Solution Steps

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

$$-1+\frac{\sqrt[3]{8}+\sqrt{4}}{\sqrt{9+16}}$$

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

$$-1+\frac{2+\sqrt{4}}{\sqrt{9+16}}$$

Calculate the square root of 4 and get 2.

$$-1+\frac{2+2}{\sqrt{9+16}}$$

Add 2 and 2 to get 4.

$$-1+\frac{4}{\sqrt{9+16}}$$

Add 9 and 16 to get 25.

$$-1+\frac{4}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$-1+\frac{4}{5}$$

Add -1 and \frac{4}{5} to get -\frac{1}{5}.

$$-\frac{1}{5}$$

Factor

$$-\frac{1}{5} = -0.2$$