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prove that 7-2√3 is an irrational …

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prove that 7-2√3 is an irrational number

Posted by Nandini Kolli 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Aman Singh 4 years, 3 months ago

Thanks

3Thank You

Anjali Bisht 4 years, 10 months ago

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.. Hence Proved..... I hope now your doubt is clear??

18Thank You

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CBSE > Class 10 > Mathematics