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कौन-सा विकल्प \(\sqrt{2}+\sqrt{3}\) के व्युत्क्रम को सही बताता है?
Which option correctly gives the reciprocal of \(\sqrt{2}+\sqrt{3}\)?
#reciprocal of surd
#conjugate
#class 10
A \(\sqrt{3}-\sqrt{2}\)
B \(\sqrt{2}-\sqrt{3}\)
C \(\frac{\sqrt{2}+\sqrt{3}}{5}\)
D \(\sqrt{6}\)
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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