Simplify the Radical Expression 2 square root of 3-8 square root of 6+5 square root of 3+4 square root of 6

$2 \sqrt{3} - 8 \sqrt{6} + 5 \sqrt{3} + 4 \sqrt{6}$

Step 1

Add $2 \sqrt{3}$ and $5 \sqrt{3}$ .

$7 \sqrt{3} - 8 \sqrt{6} + 4 \sqrt{6}$

Step 2

Add $- 8 \sqrt{6}$ and $4 \sqrt{6}$ .

$7 \sqrt{3} - 4 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{3} - 4 \sqrt{6}$

Decimal Form:

$2.32639668 \dots$