वर्गमूल सर्पिल में यदि \(\sqrt{n}\) के बाद बनने वाला कर्ण \(\sqrt{n+1}\) अपरिमेय है, तो कौन-सी बात निश्चित हो सकती है?
In a square root spiral, if the hypotenuse \(\sqrt{n+1}\) formed after \(\sqrt{n}\) is irrational, what can be definitely true?
Explanation opens after your attempt
Correct Answer
A. (n+1) पूर्ण वर्ग नहीं है(n+1) is not a perfect square
Concept
The square root of a positive integer is a whole number only when it is a perfect square. If it is not a perfect square, the square root is irrational.
Why this answer is correct
The correct answer is A. (n+1) पूर्ण वर्ग नहीं है / (n+1) is not a perfect square. The square root of a positive integer is a whole number only when it is a perfect square. If it is not a perfect square, the square root is irrational.
Exam Tip
किसी धनात्मक पूर्णांक का वर्गमूल पूर्ण संख्या तभी होता है जब वह पूर्ण वर्ग हो। पूर्ण वर्ग न हो तो वर्गमूल अपरिमेय होता है।
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