What is sqrt((1-5/13)/2) ?

The solution to sqrt((1-5/13)/2) is 2/(sqrt(13))

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simplify sqrt((1-5/13)/2)

simplify

\frac{1 - \frac{5}{13}}{2}

\frac{2}{13}

Decimal

0.55470 \dots

Solution steps

\frac{1 - \frac{5}{13}}{2}

Apply radical rule:

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

= \frac{1 - \frac{5}{13}}{2}

1 - \frac{5}{13} = \frac{2 2}{13}

= \frac{\frac{2 2}{13}}{2}

Apply the fraction rule:

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

= \frac{2 2}{13 2}

Cancel the common factor:

2

= \frac{2}{13}

98 k

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