IS 2 ROOT 3 RATIONAL OR IRRATIONAL ?
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Irrational number is the right answer
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so is 3–√−2–√ because 3–√+2–√=13–√−2–√ . Now assume 3–√+2–√ is rational. If we add (3–√+2–√)+(3–√−2–√) we get 23–√ which is irrational. But the sum of two rationals can never be irrational, because for integers a,b,c,d ab+cd=ad+bcbd which is rational. Therefore, our assumption that 3–√+2–√ is rational is incorrect, so 3–√+2–√ is irrational.
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Jul 25 '13 at 17:34
Ovi
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Jul 25 '13 at 17:50
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