Medium Mathematics Chapter 1: Real Numbers Class 10 Level 15

निम्नलिखित में से कौन-सा परिणाम परिमेय नहीं है?

Which of the following results is not rational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{2}+\sqrt{98}\)

Step 1

Concept

\(\sqrt{98}=7\sqrt{2}\), so \(\sqrt{2}+\sqrt{98}=8\sqrt{2}\).

Step 2

Why this answer is correct

\(8\sqrt{2}\) is irrational, so it is not rational.

Step 3

Exam Tip

Simplify each option before deciding its nature. चरण 1: \(\sqrt{98}=7\sqrt{2}\), इसलिए \(\sqrt{2}+\sqrt{98}=8\sqrt{2}\)। चरण 2: \(8\sqrt{2}\) अपरिमेय है, इसलिए परिमेय नहीं है। चरण 3: हर विकल्प को सरल करने के बाद ही प्रकृति तय करें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is C. \(\sqrt{2}+\sqrt{98}\).

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