Expert Mathematics Chapter 1: Real Numbers Class 10 Level 15

कौन सा विकल्प \(\sqrt{2}+\frac{1}{\sqrt{2}}\) का सही रूप और प्रकार देता है?

Which option gives the correct form and type of \(\sqrt{2}+\frac{1}{\sqrt{2}}\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3\sqrt{2}}{2}\) और अपरिमेय\(\frac{3\sqrt{2}}{2}\) and irrational

Step 1

Concept

\(\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\).

Step 2

Why this answer is correct

\(\sqrt{2}+\frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{2}\) which is irrational.

Step 3

Exam Tip

Rationalize the denominator before combining terms. चरण 1: \(\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\)। चरण 2: \(\sqrt{2}+\frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{2}\) जो अपरिमेय है। चरण 3: जोड़ने से पहले हर को परिमेय बनाने की आदत रखें।

FAQs

Mathematics Question FAQs

What is the correct answer to this Mathematics MCQ?

The correct answer is A. \(\frac{3\sqrt{2}}{2}\) और अपरिमेय / \(\frac{3\sqrt{2}}{2}\) and irrational.

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