\(1+\sqrt{2}\) किस प्रकार की संख्या है?

What type of number is \(1+\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

\(\sqrt{2}\) is irrational so \(1+\sqrt{2}\) is also irrational. Adding a rational number does not remove the irrational part.

Step 2

Why this answer is correct

The correct answer is B. अपरिमेय / Irrational. \(\sqrt{2}\) is irrational so \(1+\sqrt{2}\) is also irrational. Adding a rational number does not remove the irrational part.

Step 3

Exam Tip

\(\sqrt{2}\) अपरिमेय है इसलिए \(1+\sqrt{2}\) भी अपरिमेय है। परिमेय संख्या जोड़ने से अपरिमेय भाग खत्म नहीं होता।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(1+\sqrt{2}\) किस प्रकार की संख्या है? / What type of number is \(1+\sqrt{2}\)?

Correct Answer: B. अपरिमेय / Irrational. Explanation: \(\sqrt{2}\) अपरिमेय है इसलिए \(1+\sqrt{2}\) भी अपरिमेय है। परिमेय संख्या जोड़ने से अपरिमेय भाग खत्म नहीं होता। / \(\sqrt{2}\) is irrational so \(1+\sqrt{2}\) is also irrational. Adding a rational number does not remove the irrational part.

Which concept should I revise for this Mathematics MCQ?

\(\sqrt{2}\) is irrational so \(1+\sqrt{2}\) is also irrational. Adding a rational number does not remove the irrational part.

What exam hint can help solve this Mathematics question?

\(\sqrt{2}\) अपरिमेय है इसलिए \(1+\sqrt{2}\) भी अपरिमेय है। परिमेय संख्या जोड़ने से अपरिमेय भाग खत्म नहीं होता।