prove that root 5 minus root 3 is not a rational
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As "r" is rational, so (r+√3) is also rational , and hence √5 is also rational, since (r+√3) is equal to √5. But, this contradicts our assumption since we know √5 is irrational number. Therefore, √5 - √3 is an irrational number.
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As root 5 is an irrational number
And subtracting a number from irrational number is also irrational......
PROVED
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