Math, asked by ksaran23, 7 hours ago

Prove that 7+2√3 is irrational

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Answered by DhathriaGokara
7

Answer:

Question:- (7-2√3) Solution:- Let us assume that (7-2√3) is a rational number. Therefore we can write in the form of p/q. Where p and q are co- prime numbers. 7-2√3=p/q 7-p/q=2√3 7q-p/q=2√3 7q-p/2q=√3 √3=7q-p/2q Since, we know that √3 is an irrational number . Hence our assumption is wrong 7q-p/q or 7-2√3 is an irrational number

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Answered by sunilratnakar1970
3

Answer:

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