show that 5+4√3 is irrational
rational number class 10th
Answers
Answered by
0
Step-by-step explanation:
let us suppose 5+4√3 is rational number
5+4√3=a/b where a and b are integer
4√3=a/b-5
√3=a-5b/4b
right hand side is rational number
it implies √3 is rational number
but we know √3 is irrational number
hence our supposition is wrong
5+4√3 is irrational number
Answered by
0
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.
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