\(\frac{3+\sqrt{2}}{3-\sqrt{2}}\) का सरल रूप कौन-सा है?
Which is the simplified form of \(\frac{3+\sqrt{2}}{3-\sqrt{2}}\)?
Explanation opens after your attempt
Correct Answer
A. \( \frac{11+6\sqrt{2}}{7}\)
Concept
Multiplying by the conjugate gives denominator (9-2=7) and numerator (\(3+\sqrt{2}\)2=11+6\sqrt{2}). So the correct form is \(\frac{11+6\sqrt{2}}{7}\).
Why this answer is correct
The correct answer is A. \( \frac{11+6\sqrt{2}}{7}\). Multiplying by the conjugate gives denominator (9-2=7) and numerator (\(3+\sqrt{2}\)2=11+6\sqrt{2}). So the correct form is \(\frac{11+6\sqrt{2}}{7}\).
Exam Tip
संयुग्मी से गुणा करने पर हर (9-2=7) और अंश (\(3+\sqrt{2}\)2=11+6\sqrt{2}) मिलता है। इसलिए सही रूप \(\frac{11+6\sqrt{2}}{7}\) है।
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