Simplify 2 square root of 3-5 square root of 2+10 square root of 3+14 square root of 2-3 square root of 2

$2 \sqrt{3} - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} - 3 \sqrt{2}$

Add $2 \sqrt{3}$ and $10 \sqrt{3}$ .

$12 \sqrt{3} - 5 \sqrt{2} + 14 \sqrt{2} - 3 \sqrt{2}$

Add $- 5 \sqrt{2}$ and $14 \sqrt{2}$ .

$12 \sqrt{3} + 9 \sqrt{2} - 3 \sqrt{2}$

Subtract $3 \sqrt{2}$ from $9 \sqrt{2}$ .

$12 \sqrt{3} + 6 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{3} + 6 \sqrt{2}$

Decimal Form:

$29.26989106 \dots$