\(\frac{5}{\sqrt{6}-1}\) का परिमेयकृत रूप कौन-सा है?
Which is the rationalised form of \(\frac{5}{\sqrt{6}-1}\)?
Explanation opens after your attempt
Correct Answer
D. (\frac{5\(\sqrt{6}+1\)}{5})
Concept
Multiplying by the conjugate makes the denominator (6-1=5). So the form is (\frac{5\(\sqrt{6}+1\)}{5}), that is \(\sqrt{6}+1\).
Why this answer is correct
The correct answer is D. (\frac{5\(\sqrt{6}+1\)}{5}). Multiplying by the conjugate makes the denominator (6-1=5). So the form is (\frac{5\(\sqrt{6}+1\)}{5}), that is \(\sqrt{6}+1\).
Exam Tip
संयुग्मी से गुणा करने पर हर (6-1=5) बनता है। इसलिए रूप (\frac{5\(\sqrt{6}+1\)}{5}), यानी \(\sqrt{6}+1\), है।
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