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In the proof for (\sqrt{5}), if both (x) and (y) are divisible by (5), which statement would be false?(\sqrt{5}) के प्रमाण में (x) और (y) दोनों (5) से विभाज्य होने पर कौन-सा कथन गलत होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x) and (y) are coprime(x) और (y) सहअभाज्य हैं
Step 1: Both being divisible by (5) shows that (5) is a common factor. Step 2: Coprime numbers cannot have such a common factor. Step 3: Therefore the statement that they are coprime is proved false.चरण 1: दोनों का (5) से विभाज्य होना बताता है कि (5) साझा गुणनखंड है। चरण 2: सहअभाज्य संख्याओं में ऐसा साझा गुणनखंड नहीं हो सकता। चरण 3: इसलिए सहअभाज्य होने का कथन गलत सिद्ध होता है।
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