Question

Prove that 5+2√3 is irrational.

Answer 1

Heya frnd ur answer
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Let us suppose that 5+2√3 is a rational number where a, b are integers b is not equal to zero and a, b are co- primes.

5+2√3= a/b
2√3=a/b-5
2√3=a-5b/b
√3=a-5b/2b
√3= integer/integer=rational number

Which is a contradiction.
So what we have supposed comes out to be false
Therefore 5+2√3 is irrational number.

Hope it helps....... ✌✌✌
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