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Question Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

किस विकल्प में \(\sqrt{a}-\sqrt{b}\) परिमेय है, जबकि दोनों वर्गमूल अलग-अलग हैं?

In which option is \(\sqrt{a}-\sqrt{b}\) rational while the two square roots are different?

Explanation opens after your attempt
Correct Answer

A. (a=25,b=9)

Step 1

Concept

\(\sqrt{25}=5\) and \(\sqrt{9}=3\).

Step 2

Why this answer is correct

The difference is (5-3=2), which is rational.

Step 3

Exam Tip

A simple way to get a rational difference is to use square roots of perfect squares. चरण 1: \(\sqrt{25}=5\) और \(\sqrt{9}=3\) हैं। चरण 2: अंतर (5-3=2) परिमेय है। चरण 3: परिमेय अंतर पाने का सरल तरीका पूर्ण वर्गों के वर्गमूल लेना है।

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