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Question Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

यदि कोई विद्यार्थी \(\sqrt{3}=\frac{p}{q}\) से सीधे \(3=\frac{p}{q}\) लिखता है, तो सही सुधार क्या है?

If a student writes \(3=\frac{p}{q}\) directly from \(\sqrt{3}=\frac{p}{q}\), what is the correct correction?

Explanation opens after your attempt
Correct Answer

A. दोनों ओर वर्ग करने पर \(3=\frac{p^2}{q^2}\) मिलेगाSquaring both sides gives \(3=\frac{p^2}{q^2}\)

Step 1

Concept

To get (3) from \(\sqrt{3}\), both sides must be squared.

Step 2

Why this answer is correct

The square of a fraction is \(\frac{p^2}{q^2}\).

Step 3

Exam Tip

So the correct form is \(3=\frac{p^2}{q^2}\). चरण 1: \(\sqrt{3}\) से (3) पाने के लिए दोनों ओर वर्ग करना जरूरी है। चरण 2: भिन्न का वर्ग \(\frac{p^2}{q^2}\) होता है। चरण 3: इसलिए सही रूप \(3=\frac{p^2}{q^2}\) है।

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