prove that 1/3-2√5 is an irrational
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Answer:
Step-by-step explanation:Assume that 3+2
5
is rational. Then,
3+2
5
=
b
a
5
=
2b
a−3b
This gives that
2b
a−3b
is rational but
5
is an irrational number, therefore, the assumption is wrong.
Hence, 3+2
5
is irrational.
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