prove that 3+5√2 is an irrational number
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Answered by
2
hi mate......
here is your answer
3+5√2
let 3+5√2 be rational and have only common factor 1.
Let, 3+5√2 = a/b
5√2 = a - 3/ b
5√2 = a-3b/b
if a - 3b / b is rational so, 5√2 is also rational
but it is not possible .
It is contradiction to our assumption .
so, 3+5√2 is a irrational.
hope it works to you.......... : )
Answered by
0
Step-by-step explanation:
3+5√2
let 3+5√2 be rational and have only common factor 1.
Let, 3+5√2 = a/b
5√2 = a - 3/ b
5√2 = a-3b/b
if a - 3b / b is rational so, 5√2 is also rational
but it is not possible .
It is contradiction to ou.
so, 3+5√2 is a irrational.
hope it works to you..........
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