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reciprocal of surd MCQ Questions for Class 10

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Practice Questions

1 questions tagged with reciprocal of surd.

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

कौन-सा विकल्प \(\sqrt{2}+\sqrt{3}\) के व्युत्क्रम को सही बताता है?

Which option correctly gives the reciprocal of \(\sqrt{2}+\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

(\(\sqrt{2}+\sqrt{3}\)\(\sqrt{3}-\sqrt{2}\)=3-2=1).

Step 2

Why this answer is correct

Therefore \(\sqrt{3}-\sqrt{2}\) is its reciprocal.

Step 3

Exam Tip

In reciprocals, keep the order and sign of the conjugate carefully. चरण 1: (\(\sqrt{2}+\sqrt{3}\)\(\sqrt{3}-\sqrt{2}\)=3-2=1)। चरण 2: इसलिए \(\sqrt{3}-\sqrt{2}\) इसका व्युत्क्रम है। चरण 3: व्युत्क्रम में संयुग्मी का क्रम और चिह्न सावधानी से रखें।

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