\(\frac{5}{\sqrt{14}-3}\) का परिमेयकृत रूप कौन-सा है?
Which is the rationalised form of \(\frac{5}{\sqrt{14}-3}\)?
Explanation opens after your attempt
Correct Answer
D. (\frac{5\(\sqrt{14}+3\)}{5})
Concept
Multiplying by the conjugate makes the denominator (14-9=5). So the form is (\frac{5\(\sqrt{14}+3\)}{5}), that is \(\sqrt{14}+3\).
Why this answer is correct
The correct answer is D. (\frac{5\(\sqrt{14}+3\)}{5}). Multiplying by the conjugate makes the denominator (14-9=5). So the form is (\frac{5\(\sqrt{14}+3\)}{5}), that is \(\sqrt{14}+3\).
Exam Tip
संयुग्मी से गुणा करने पर हर (14-9=5) बनता है। इसलिए रूप (\frac{5\(\sqrt{14}+3\)}{5}), यानी \(\sqrt{14}+3\), है।
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