यदि (r) परिमेय है और (x) अपरिमेय है तो (r+x) सामान्यतः क्या होगा जब (r=5) और \(x=\sqrt{2}\)?

If (r) is rational and (x) is irrational then what is (r+x) generally when (r=5) and \(x=\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

\(5+\sqrt{2}\) is irrational because adding a rational and an irrational gives an irrational. In such questions watch the irrational part.

Step 2

Why this answer is correct

The correct answer is B. अपरिमेय / Irrational. \(5+\sqrt{2}\) is irrational because adding a rational and an irrational gives an irrational. In such questions watch the irrational part.

Step 3

Exam Tip

\(5+\sqrt{2}\) अपरिमेय है क्योंकि परिमेय में अपरिमेय जोड़ने से अपरिमेय मिलता है। ऐसे सवाल में अपरिमेय भाग देखें।

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Mathematics Answer, Explanation and Revision Hints

यदि (r) परिमेय है और (x) अपरिमेय है तो (r+x) सामान्यतः क्या होगा जब (r=5) और \(x=\sqrt{2}\)? / If (r) is rational and (x) is irrational then what is (r+x) generally when (r=5) and \(x=\sqrt{2}\)?

Correct Answer: B. अपरिमेय / Irrational. Explanation: \(5+\sqrt{2}\) अपरिमेय है क्योंकि परिमेय में अपरिमेय जोड़ने से अपरिमेय मिलता है। ऐसे सवाल में अपरिमेय भाग देखें। / \(5+\sqrt{2}\) is irrational because adding a rational and an irrational gives an irrational. In such questions watch the irrational part.

Which concept should I revise for this Mathematics MCQ?

\(5+\sqrt{2}\) is irrational because adding a rational and an irrational gives an irrational. In such questions watch the irrational part.

What exam hint can help solve this Mathematics question?

\(5+\sqrt{2}\) अपरिमेय है क्योंकि परिमेय में अपरिमेय जोड़ने से अपरिमेय मिलता है। ऐसे सवाल में अपरिमेय भाग देखें।