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

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

Step 1

Subtract $5 \sqrt{3}$ from $\sqrt{3}$ .

$- 4 \sqrt{3} + 2 \sqrt{3} + 10 \sqrt{3}$

Step 2

Add $- 4 \sqrt{3}$ and $2 \sqrt{3}$ .

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

Step 3

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

$8 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3}$

Decimal Form:

$13.85640646 \dots$