Quantitative Aptitude Ques 368
Question: Which one of the following is true?
Options:
A) $ \sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2} $
B) $ \sqrt{5}+\sqrt{3}<\sqrt{6}+\sqrt{2} $
C) $ \sqrt{5}+\sqrt{3}=\sqrt{6}+\sqrt{2} $
D) $ (\sqrt{5}+\sqrt{3})=(\sqrt{6}+\sqrt{2})=1 $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ {{(\sqrt{5}+\sqrt{3})}^{2}}=5+3+2\sqrt{15}=8+2\sqrt{15} $ and $ {{(\sqrt{6}+\sqrt{2})}^{2}}=6+2+2\sqrt{12}=8+2\sqrt{12} $ Again, $ 8+2\sqrt{15}>8+2\sqrt{12} $
$ \therefore $ $ \sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2} $
BETA
