Evaluate
\frac{\sqrt{17}-3}{2}\approx 0.561552813
Factor
\frac{\sqrt{17} - 3}{2} = 0.5615528128088303
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-\frac{\left(9+\sqrt{17}\right)\left(5-\sqrt{17}\right)}{8}+\frac{2\times 8}{8}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{8}{8}.
\frac{-\left(9+\sqrt{17}\right)\left(5-\sqrt{17}\right)+2\times 8}{8}
Since -\frac{\left(9+\sqrt{17}\right)\left(5-\sqrt{17}\right)}{8} and \frac{2\times 8}{8} have the same denominator, add them by adding their numerators.
\frac{-45+9\sqrt{17}-5\sqrt{17}+17+16}{8}
Do the multiplications in -\left(9+\sqrt{17}\right)\left(5-\sqrt{17}\right)+2\times 8.
\frac{-12+4\sqrt{17}}{8}
Do the calculations in -45+9\sqrt{17}-5\sqrt{17}+17+16.
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