\(\frac{\sqrt{10}-\sqrt{6}}{\sqrt{10}+\sqrt{6}}\) का सरल रूप कौन-सा है?

Which is the simplified form of \(\frac{\sqrt{10}-\sqrt{6}}{\sqrt{10}+\sqrt{6}}\)?

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

C. \(4-\sqrt{15}\)

Step 1

Concept

Multiplying by the conjugate gives (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}). Make the denominator rational.

Step 2

Why this answer is correct

The correct answer is C. \(4-\sqrt{15}\). Multiplying by the conjugate gives (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}). Make the denominator rational.

Step 3

Exam Tip

संयुग्मी से गुणा करने पर (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}) मिलता है। हर को परिमेय बनाएं।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{\sqrt{10}-\sqrt{6}}{\sqrt{10}+\sqrt{6}}\) का सरल रूप कौन-सा है? / Which is the simplified form of \(\frac{\sqrt{10}-\sqrt{6}}{\sqrt{10}+\sqrt{6}}\)?

Correct Answer: C. \(4-\sqrt{15}\). Explanation: संयुग्मी से गुणा करने पर (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}) मिलता है। हर को परिमेय बनाएं। / Multiplying by the conjugate gives (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}). Make the denominator rational.

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate gives (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}). Make the denominator rational.

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर (\frac{\(\sqrt{10}-\sqrt{6}\)2}{4}=4-\sqrt{15}) मिलता है। हर को परिमेय बनाएं।