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Well, do you know a favourite rational number, say sqrt2? If your favourite is sqrt2, which is about 1.4, you can use this to find an irrational between any two rationals as follows: if your two given rationals are a and b, where a >b, then sqrt2/2(ab) is irrational; what can you say about b + sqrt2/2(ab)? Penny
Hi Clara. Any rational number plus an irrational number makes an irrational number. So if you can find an irrational number less than 1/99, then just add that to 53/99 and you have solved your problem. An easy way to find such a number is to just divide a well known irrational like pi by a large enough value. Cheers,
 


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