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Prove that 5 - √3 is …

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Prove that 5 - √3 is irrational, given that √3 is irrational.

Posted by Urmila Panchal 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

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

2Thank You

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