Show that 5 – √3 is irrational.
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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.
hope it'll help you :)
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.
hope it'll help you :)
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