Which statement correctly relates perfect squares and irrational square roots?

Q: What is the correct answer to this Mathematics MCQ?

The correct answer is A. यदि प्राकृतिक संख्या पूर्ण वर्ग नहीं है और अभाज्य है, तो उसका वर्गमूल अपरिमेय होता है / If a natural number is not a perfect square and is prime, its square root is irrational.

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Question

कौन-सा कथन पूर्ण वर्ग और अपरिमेय वर्गमूल के संबंध को सही बताता है?
Which statement correctly relates perfect squares and irrational square roots?

Accepted Answer

यदि प्राकृतिक संख्या पूर्ण वर्ग नहीं है और अभाज्य है, तो उसका वर्गमूल अपरिमेय होता है / If a natural number is not a perfect square and is prime, its square root is irrational. Step 1: (2,3,5) are not perfect squares and are prime. Step 2: Assuming their square roots rational creates a common-factor contradiction. Step 3: Identifying perfect squares is the first task in such questions.

Answer

यदि प्राकृतिक संख्या पूर्ण वर्ग नहीं है और अभाज्य है, तो उसका वर्गमूल अपरिमेय होता है / If a natural number is not a perfect square and is prime, its square root is irrational

Answer

हर प्राकृतिक संख्या का वर्गमूल परिमेय होता है / The square root of every natural number is rational

Answer

हर विषम संख्या का वर्गमूल पूर्णांक होता है / The square root of every odd number is an integer

Answer

हर अभाज्य संख्या का वर्गमूल वही संख्या होता है / The square root of every prime number is the number itself

कौन-सा कथन पूर्ण वर्ग और अपरिमेय वर्गमूल के संबंध को सही बताता है?

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