Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5
Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 270.5). This gives us (5-56+207^0.5-27^0.5)/-3. Simplify to (-51 + 187^0.5)/-3 which gives 17 - 6*70.5 as you can seperate the numerator of the fraction to create 2 seperate fractions with the same denominator.
EC
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