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

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

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

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

$$\frac{\sqrt[3]{-1+2}+\sqrt{4}}{\sqrt{9+16}}$$

Add -1 and 2 to get 1.

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

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

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

Calculate the square root of 4 and get 2.

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

Add 1 and 2 to get 3.

$$\frac{3}{\sqrt{9+16}}$$

Add 9 and 16 to get 25.

$$\frac{3}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$