Answer:
Let us assume that 4−5
3
be rational
⟹4−5
=
b
a
where a,bϵZ
⟹−5
−4
⟹
5
4
−
L.H.S = irrational number as
is a irrational number.
R.H.S = rational number
as RHS
=LHS
Hence, our assumption is wrong and 4−5
3 is a irrational number.
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Answers & Comments
Answer:
Let us assume that 4−5
3
be rational
⟹4−5
3
=
b
a
where a,bϵZ
⟹−5
3
=
b
a
−4
⟹
3
=
5
4
−
b
a
L.H.S = irrational number as
3
is a irrational number.
R.H.S = rational number
as RHS
=LHS
Hence, our assumption is wrong and 4−5
3 is a irrational number.