Prove that5+2√3 is an irrational
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Step-by-step explanation:
5+2√3 = p/q ( where p and q are co prime)
2√3 = p/q-5
2√3 = p-5q/q
√3 = p-5q/2q
now p , 5 , 2 and q are integers
∴ p-5q/2q is rational
∴ √3 is rational
but we know that √3 is irrational . This is a contradiction which has arisen due to our wrong assumption.
∴ 5+2√3 is irrational
hope it helps u...
anitatomar997:
Thanks Bhai
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