Which is greater √8 + √3 or √12 + √2?
Type your answer as 1 for √8 + √3 2 for √12 + √2
Explanation:
If a and b > 0 and a2 > b2, then a > b.
We have √8 + √3 and √12 + √2
Squaring both the terms
(8 + 3 + 2√24) and (12 + 2 + 2√24)
(11 + 2√18) and (14 + 2√14)
Since, irrational part is same in both these terms, the term with greater rational part will be greater,
∴ 14 + 2√24 > 11 + 2√24
⇒ √12 + √2 > √8 + √3
Hence, 2.
» 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.