Expert Mathematics Chapter 1: Real Numbers Class 10 Level 15

कौन सा उदाहरण दिखाता है कि दो अपरिमेय संख्याओं का गुणनफल परिमेय हो सकता है?

Which example shows that the product of two irrational numbers can be rational?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{5}\cdot \sqrt{5}\)

Step 1

Concept

\(\sqrt{5}\) is irrational.

Step 2

Why this answer is correct

\(\sqrt{5}\cdot \sqrt{5}=5\) which is rational.

Step 3

Exam Tip

The product of two identical irrational square roots becomes the number inside. चरण 1: \(\sqrt{5}\) अपरिमेय है। चरण 2: \(\sqrt{5}\cdot \sqrt{5}=5\) परिमेय है। चरण 3: दो समान अपरिमेय वर्गमूलों का गुणनफल भीतर की संख्या बन जाता है।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. \(\sqrt{5}\cdot \sqrt{5}\).

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