Simplify (4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3

$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$

Step 1

Simplify terms.

Combine the numerators over the common denominator.

$\frac{3}{5} \cdot \sqrt{3} + \frac{4 \sqrt{3} - \sqrt{3}}{5}$

Subtract $\sqrt{3}$ from $4 \sqrt{3}$ .

$\frac{3}{5} \cdot \sqrt{3} + \frac{3 \sqrt{3}}{5}$

Step 2

Combine $\frac{3}{5}$ and $\sqrt{3}$ .

$\frac{3 \sqrt{3}}{5} + \frac{3 \sqrt{3}}{5}$

Step 3

Simplify terms.

Combine the numerators over the common denominator.

$\frac{3 \sqrt{3} + 3 \sqrt{3}}{5}$

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

$\frac{6 \sqrt{3}}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6 \sqrt{3}}{5}$

Decimal Form:

$2.07846096 \dots$