कौन सा विकल्प \(\frac{2}{\sqrt{5}+1}\) को परिमेय हर वाले रूप में सही लिखता है?
Which option correctly writes \(\frac{2}{\sqrt{5}+1}\) with a rational denominator?
Explanation opens after your attempt
Correct Answer
A. \(\frac{\sqrt{5}-1}{2}\)
Concept
Multiply by the conjugate \(\sqrt{5}-1\).
Why this answer is correct
(\frac{2\(\sqrt{5}-1\)}{5-1}=\frac{\sqrt{5}-1}{2}).
Exam Tip
Multiplying by the conjugate makes the denominator rational. चरण 1: हर को \(\sqrt{5}-1\) से गुणा करें। चरण 2: (\frac{2\(\sqrt{5}-1\)}{5-1}=\frac{\sqrt{5}-1}{2})। चरण 3: संयुग्मी से गुणा करने पर हर परिमेय बन जाता है।
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