What is sqrt((1-4/5)/2) ?

The solution to sqrt((1-4/5)/2) is 1/(sqrt(10))

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simplify sqrt((1-4/5)/2)

simplify

\frac{1 - \frac{4}{5}}{2}

\frac{1}{10}

Decimal Notation

0.31622 \dots

Solution steps

\frac{1 - \frac{4}{5}}{2}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1 - \frac{4}{5}}{2}

1 - \frac{4}{5} = \frac{1}{5}

= \frac{\frac{1}{5}}{2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{5 2}

52 = 10

= \frac{1}{10}

\frac{40}{4}

(b - 10) (b - 2)

\frac{16}{15}

\frac{3}{x ^{2} - 9} + \frac{2}{x + 3}