simplify 1/(sqrt(12)) — step-by-step solution

Let's simplify:

\frac{1}{\sqrt{12}}

ⓘ 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}{2 \times \sqrt{3}}

By convention, we prefer numerical square roots in the numerator:

ⅰ

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

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

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

ⅰ

3 \times 2

6

▶Simplified form:

\frac{\sqrt{3}}{6}

The numeric value of:

\frac{\sqrt{3}}{6}

equals:

\frac{\approx 1.7321}{6}

▷

\approx 0.2887