show that 5-√3 is irrationl number
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To, prove : 5-√3 is irrational
Proof:
Let us assume that 5 -√3 is rational.
Let ,
5 - √3 = r , where "r" is rational
5 - r = √3
Here,
LHS is purely rational.But,on the other
hand ,RHS is irrational.
This leads to a contradiction
.
Hence,5-√3 is irrational
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