Simplify square root of 5+6 cube root of 5+8 cube root of 5-5 square root of 5

$\sqrt{5} + 6 \sqrt[3]{5} + 8 \sqrt[3]{5} - 5 \sqrt{5}$

Step 1

Subtract $5 \sqrt{5}$ from $\sqrt{5}$ .

$- 4 \sqrt{5} + 6 \sqrt[3]{5} + 8 \sqrt[3]{5}$

Step 2

Add $6 \sqrt[3]{5}$ and $8 \sqrt[3]{5}$ .

$- 4 \sqrt{5} + 14 \sqrt[3]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 4 \sqrt{5} + 14 \sqrt[3]{5}$

Decimal Form:

$14.99539134 \dots$