Medium Mathematics Chapter 1: Real Numbers Class 10 Level 14

निम्नलिखित में से कौन-सा \(2+\sqrt{3}\) के बराबर है?

Which of the following is equal to \(2+\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{2-\sqrt{3}}\)

Step 1

Concept

Rationalise \(\frac{1}{2-\sqrt{3}}\) by multiplying by \(2+\sqrt{3}\).

Step 2

Why this answer is correct

The denominator becomes (4-3=1), so the value is \(2+\sqrt{3}\).

Step 3

Exam Tip

Use rationalisation to identify equivalent forms. चरण 1: \(\frac{1}{2-\sqrt{3}}\) का हर परिमेय करने के लिए \(2+\sqrt{3}\) से गुणा करें। चरण 2: हर (4-3=1) बनता है, इसलिए मान \(2+\sqrt{3}\) है। चरण 3: बराबर रूप पहचानने के लिए परिमेयकरण करें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. \(\frac{1}{2-\sqrt{3}}\).

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