prove that 7-2root3 or 7+3root2 is an irrational number
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Given- 7-2√3 is a number. = To prove that 7-2√3 is an irrational number.
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Let us assume that it is a rational number so there must be co-primes "a" and "b" such that :-. 7-2√3 = a/b , then => -2√3= a/b + 7, => -2√3= a+7b/b , => √3= a+7b/-2b. Now we got that a+7b/-2b is a rational number so √3 is also a rational number. But this contradicts the fact that √3 is irrational , so our assumption is wrong then it is proved that 7-2√3 is a irrational number. similarly you can do the next number.
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