यदि \(x=\sqrt{3}+\sqrt{5}\) और \(y=\sqrt{5}+\sqrt{7}\), तो (y-x) की प्रकृति क्या है?
If \(x=\sqrt{3}+\sqrt{5}\) and \(y=\sqrt{5}+\sqrt{7}\), what is the nature of (y-x)?
Explanation opens after your attempt
Correct Answer
A. अपरिमेयIrrational
Concept
(y-x=\(\sqrt{5}+\sqrt{7}\)-\(\sqrt{3}+\sqrt{5}\)).
Why this answer is correct
\(\sqrt{5}\) cancels and \(\sqrt{7}-\sqrt{3}\) remains, which is irrational.
Exam Tip
After like terms cancel, check the nature of the remaining surds. चरण 1: (y-x=\(\sqrt{5}+\sqrt{7}\)-\(\sqrt{3}+\sqrt{5}\))। चरण 2: \(\sqrt{5}\) कट जाता है और \(\sqrt{7}-\sqrt{3}\) बचता है, जो अपरिमेय है। चरण 3: समान पद कटने के बाद बचे हुए मूलों की प्रकृति देखें।
Login to save your score, XP, coins and progress.