simplify 1/(sqrt(3))-(sqrt(12))/3

Let's simplify:

\frac{1}{\sqrt{3}} - \frac{\sqrt{12}}{3}

ⓘ We look for the largest square dividing

12

4

2^{2}

, and take it out of the root:

\sqrt{12}

\sqrt{4 \times 3}

\sqrt{4} \times \sqrt{3}

2 \times \sqrt{3}

\frac{1}{\sqrt{3}} - \frac{2 \times \sqrt{3}}{3}

The conventional preference is to have numerical square roots in the numerator rather than in the denominator:

ⅰ

\frac{1}{\sqrt{3}}

\frac{\sqrt{3}}{3}

\frac{\sqrt{3}}{3} - \frac{2 \times \sqrt{3}}{3}

ⓘ Like terms are grouped by adding their coefficients:

\frac{\sqrt{3}}{3} - \frac{2 \times \sqrt{3}}{3}

- \frac{\sqrt{3}}{3}

▶Simplified form:

- \frac{\sqrt{3}}{3}

The numeric value of:

- \frac{\sqrt{3}}{3}

equals:

- \frac{\approx 1.7321}{3}

▷

\approx -0.5774