Simplify 2 cube root of 2+ square root of 5-4 cube root of 2+2 square root of 5

$2 \sqrt[3]{2} + \sqrt{5} - 4 \sqrt[3]{2} + 2 \sqrt{5}$

Subtract $4 \sqrt[3]{2}$ from $2 \sqrt[3]{2}$ .

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

Add $\sqrt{5}$ and $2 \sqrt{5}$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$4.18836183 \dots$