is √6-√5 rational or irrational
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irrational number........
ninth:
how ??
irrational no subtracted from irrational is irrational
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It is Irrational number
how ??
let 6-√5 be rational number
6-√5 = a/b
therefore; 6 - a/b = √5
√5 = 6-a/b
= 6b-a/b
we get; 6-a/b is rational.
so, √5 is rational
but this contradicts the fact that √5 is irrational
Therefore; our assumption is wrong 6-√5 is irrational. HENCE PROVED.
6-√5 = a/b
therefore; 6 - a/b = √5
√5 = 6-a/b
= 6b-a/b
we get; 6-a/b is rational.
so, √5 is rational
but this contradicts the fact that √5 is irrational
Therefore; our assumption is wrong 6-√5 is irrational. HENCE PROVED.
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