What is sqrt((1+8/17)/2) ?

The solution to sqrt((1+8/17)/2) is 5/(sqrt(34))

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simplify sqrt((1+8/17)/2)

simplify

\frac{1 + \frac{8}{17}}{2}

\frac{5}{34}

Decimal Notation

0.85749 \dots

Solution steps

\frac{1 + \frac{8}{17}}{2}

Apply radical rule:

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

= \frac{1 + \frac{8}{17}}{2}

1 + \frac{8}{17} = \frac{5}{17}

= \frac{\frac{5}{17}}{2}

Apply the fraction rule:

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

= \frac{5}{17 2}

172 = 34

= \frac{5}{34}

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