यदि \(x=3+\sqrt{8}\), तो \(\frac{1}{x}\) किसके बराबर है?

If \(x=3+\sqrt{8}\), what is \(\frac{1}{x}\) equal to?

Explanation opens after your attempt
Correct Answer

A. \(3-\sqrt{8}\)

Step 1

Concept

Because (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), the reciprocal is \(3-\sqrt{8}\). If the product is (1), the reciprocal is immediate.

Step 2

Why this answer is correct

The correct answer is A. \(3-\sqrt{8}\). Because (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), the reciprocal is \(3-\sqrt{8}\). If the product is (1), the reciprocal is immediate.

Step 3

Exam Tip

क्योंकि (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), इसलिए व्युत्क्रम \(3-\sqrt{8}\) है। परीक्षा में गुणनफल (1) होने पर व्युत्क्रम तुरंत मिल जाता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x=3+\sqrt{8}\), तो \(\frac{1}{x}\) किसके बराबर है? / If \(x=3+\sqrt{8}\), what is \(\frac{1}{x}\) equal to?

Correct Answer: A. \(3-\sqrt{8}\). Explanation: क्योंकि (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), इसलिए व्युत्क्रम \(3-\sqrt{8}\) है। परीक्षा में गुणनफल (1) होने पर व्युत्क्रम तुरंत मिल जाता है। / Because (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), the reciprocal is \(3-\sqrt{8}\). If the product is (1), the reciprocal is immediate.

Which concept should I revise for this Mathematics MCQ?

Because (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), the reciprocal is \(3-\sqrt{8}\). If the product is (1), the reciprocal is immediate.

What exam hint can help solve this Mathematics question?

क्योंकि (\(3+\sqrt{8}\)\(3-\sqrt{8}\)=9-8=1), इसलिए व्युत्क्रम \(3-\sqrt{8}\) है। परीक्षा में गुणनफल (1) होने पर व्युत्क्रम तुरंत मिल जाता है।