simplify sqrt(2/9) — step-by-step solution

Let's reduce:

\sqrt{\frac{2}{9}}

ⓘ The root of a quotient is the quotient of the roots, sqrt(a/b) = sqrt(a)/sqrt(b):

\sqrt{\frac{2}{9}}

\frac{\sqrt{2}}{\sqrt{9}}

\frac{\sqrt{2}}{\sqrt{9}}

ⓘ The square root of a number is the positive number whose square is that number:

\sqrt{9}

3

;

3^{2}

9

▶Simplified form:

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

The numeric value of:

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

is:

\frac{\approx 1.4142}{3}

▷

\approx 0.4714