कौन सा विकल्प बताता है कि \(\sqrt{2}+\sqrt{8}\) अपरिमेय है?

Which option shows that \(\sqrt{2}+\sqrt{8}\) is irrational?

Explanation opens after your attempt
Correct Answer

A. यह \(3\sqrt{2}\) हैIt is \(3\sqrt{2}\)

Step 1

Concept

\(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\). A non zero rational multiple of \(\sqrt{2}\) remains irrational.

Step 2

Why this answer is correct

The correct answer is A. यह \(3\sqrt{2}\) है / It is \(3\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\). A non zero rational multiple of \(\sqrt{2}\) remains irrational.

Step 3

Exam Tip

\(\sqrt{8}=2\sqrt{2}\), इसलिए योग \(3\sqrt{2}\) है। गैर शून्य परिमेय गुणक के साथ \(\sqrt{2}\) अपरिमेय रहता है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

कौन सा विकल्प बताता है कि \(\sqrt{2}+\sqrt{8}\) अपरिमेय है? / Which option shows that \(\sqrt{2}+\sqrt{8}\) is irrational?

Correct Answer: A. यह \(3\sqrt{2}\) है / It is \(3\sqrt{2}\). Explanation: \(\sqrt{8}=2\sqrt{2}\), इसलिए योग \(3\sqrt{2}\) है। गैर शून्य परिमेय गुणक के साथ \(\sqrt{2}\) अपरिमेय रहता है। / \(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\). A non zero rational multiple of \(\sqrt{2}\) remains irrational.

Which concept should I revise for this Mathematics MCQ?

\(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\). A non zero rational multiple of \(\sqrt{2}\) remains irrational.

What exam hint can help solve this Mathematics question?

\(\sqrt{8}=2\sqrt{2}\), इसलिए योग \(3\sqrt{2}\) है। गैर शून्य परिमेय गुणक के साथ \(\sqrt{2}\) अपरिमेय रहता है।