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prove that 7-2√3 is an irrational number |
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Answer» Thanks 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/q7-p/q=2√37q-p/q=2√37q-p/2q=√3√3=7q-p/2qSince, we know that √3 is an irrational number .Hence our assumption is wrong 7q-p/q or 7-2√3 is an irrational number.. Hence Proved.....I hope now your doubt is clear?? |
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