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

कौन-सा विकल्प \(\frac{1}{\sqrt{3}}\) का परिमेय हर वाला रूप है?

Which option is the rationalized form of \(\frac{1}{\sqrt{3}}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{\sqrt{3}}{3}\)

Step 1

Concept

Multiply numerator and denominator by \(\sqrt{3}\).

Step 2

Why this answer is correct

\(\frac{1}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}\).

Step 3

Exam Tip

Rationalizing the denominator gives a cleaner exam answer. चरण 1: हर को परिमेय बनाने के लिए ऊपर और नीचे \(\sqrt{3}\) से गुणा करें। चरण 2: \(\frac{1}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)। चरण 3: हर को मूल से मुक्त करना परीक्षा में साफ उत्तर देता है।

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