prove that 2+root3/5 is an irrational number given that root 3 is irrational
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Answer:
Given
3
is irrational number
Let 2+
3
is rational number.
then 2+
3
=
q
p
3
=
q
p−2q
Since
3
is irrational number but
q
p−2q
is rational it mean
irrational = rational
which contradict,
∴ our assumption is wrong and
2+
3
is irrational number.
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