Question Standard: Class 10th
Chapter: Real Numbers
Please give head-to-tail explanation of proving an irrational number is irrational by Fundamental Theorem Of Arithmetic. I got it till end but can't relate the last conclusion that "because 'a' and 'b' are not co-primes so the number is irrational." Please explain conclusion
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Hey friend !
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At first we should know, what is a coprime.
Co-primes: Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1.
But in order to prove a number is irrational , we'll get two factors which is contradiction to our assumption that a and b are co-primes .
So , we write at last that a and b not co-primes so they are irrational.
# Hope it helps #
_______________☺
_________________
At first we should know, what is a coprime.
Co-primes: Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1.
But in order to prove a number is irrational , we'll get two factors which is contradiction to our assumption that a and b are co-primes .
So , we write at last that a and b not co-primes so they are irrational.
# Hope it helps #
_______________☺
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