\(\frac{8}{\sqrt{27}-\sqrt{11}}\) का परिमेयकृत रूप क्या है?

What is the rationalised form of \(\frac{8}{\sqrt{27}-\sqrt{11}}\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

C. (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16})

Step 1

Concept

Multiplying by the conjugate makes the denominator (27-11=16). So the form is (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}).

Step 2

Why this answer is correct

The correct answer is C. (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}). Multiplying by the conjugate makes the denominator (27-11=16). So the form is (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}).

Step 3

Exam Tip

संयुग्मी से गुणा करने पर हर (27-11=16) बनता है। इसलिए रूप (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}) है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{8}{\sqrt{27}-\sqrt{11}}\) का परिमेयकृत रूप क्या है? / What is the rationalised form of \(\frac{8}{\sqrt{27}-\sqrt{11}}\)?

Correct Answer: C. (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}). Explanation: संयुग्मी से गुणा करने पर हर (27-11=16) बनता है। इसलिए रूप (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}) है। / Multiplying by the conjugate makes the denominator (27-11=16). So the form is (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate makes the denominator (27-11=16). So the form is (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}).

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर हर (27-11=16) बनता है। इसलिए रूप (\frac{8\(\sqrt{27}+\sqrt{11}\)}{16}) है।