Solve 10-frac{10sqrt{3}}{3}

$$10- \frac{ 10 \sqrt{ 3 } }{ 3 }$$

Evaluate

$$-\frac{10\sqrt{3}}{3}+10\approx 4.226497308$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times \frac{3}{3}.

$$\frac{10\times 3}{3}-\frac{10\sqrt{3}}{3}$$

Since \frac{10\times 3}{3} and \frac{10\sqrt{3}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10\times 3-10\sqrt{3}}{3}$$

Do the multiplications in 10\times 3-10\sqrt{3}.

$$\frac{30-10\sqrt{3}}{3}$$

Factor

$$\frac{10 \sqrt{3} {(\sqrt{3} - 1)}}{3} = 4.226497308103741$$