Irrational Between Two RationalsDate: 07/19/2002 at 03:45:17 From: Durga Subject: Irrational numbers How can one find two or three irrational numbers between two given rational numbers, e.g., between 3 and 4? Date: 07/19/2002 at 08:16:57 From: Doctor Paul Subject: Re: Irrational numbers The square root of a prime number is always irrational. So look for a number p such that 3 < sqrt(p) < 4. Squaring both sides shows that this is equivalent to finding a prime p such that 9 < p < 16. It looks like p = 11 and p = 13 will work. I hope this helps. Please write back if you'd like to talk about this some more. - Doctor Paul, The Math Forum http://mathforum.org/dr.math/ |
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