Evaluate
\frac{113-3\sqrt{41}}{40}\approx 2.344765682
Factor
\frac{113 - 3 \sqrt{41}}{40} = 2.3447656821925364
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\frac{17\times 8}{40}-\frac{23+3\sqrt{41}}{40}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 40 is 40. Multiply \frac{17}{5} times \frac{8}{8}.
\frac{17\times 8-\left(23+3\sqrt{41}\right)}{40}
Since \frac{17\times 8}{40} and \frac{23+3\sqrt{41}}{40} have the same denominator, subtract them by subtracting their numerators.
\frac{136-23-3\sqrt{41}}{40}
Do the multiplications in 17\times 8-\left(23+3\sqrt{41}\right).
\frac{113-3\sqrt{41}}{40}
Do the calculations in 136-23-3\sqrt{41}.
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