Which is greater √6 + √3 or √7 + √2?
Type your answer as 1 for √6 + √3 2 for √7 + √2
Explanation:
If a and b > 0 and a2 > b2, then a > b.
We have √6 + √3 and √7 + √2
Squaring both the terms
(6 + 3 + 2√18) and (7 + 2 + 2√14)
(9 + 2√18) and (9 + 2√14)
Since, rational part is same in both these terms, the term with greater irrational part will be greater,
∴ 9 + 2√18 > 9 + 2√14
⇒ √6 + √3 > √7 + √2
Hence, 1.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.