यदि \(x=4-\sqrt{7}\) है तो \( \frac{1}{x} \) किसके बराबर है?

If \(x=4-\sqrt{7}\), then \( \frac{1}{x} \) equals what?

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

A. \( \frac{4+\sqrt{7}}{9} \)

Step 1

Concept

Multiply \( \frac{1}{4-\sqrt{7}} \) by the conjugate. The denominator is (16-7=9) and the numerator is \(4+\sqrt{7}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{4+\sqrt{7}}{9} \). Multiply \( \frac{1}{4-\sqrt{7}} \) by the conjugate. The denominator is (16-7=9) and the numerator is \(4+\sqrt{7}\).

Step 3

Exam Tip

\( \frac{1}{4-\sqrt{7}} \) को संयुग्मी से गुणा करें। हर (16-7=9) और अंश \(4+\sqrt{7}\) होगा।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(x=4-\sqrt{7}\) है तो \( \frac{1}{x} \) किसके बराबर है? / If \(x=4-\sqrt{7}\), then \( \frac{1}{x} \) equals what?

Correct Answer: A. \( \frac{4+\sqrt{7}}{9} \). Explanation: \( \frac{1}{4-\sqrt{7}} \) को संयुग्मी से गुणा करें। हर (16-7=9) और अंश \(4+\sqrt{7}\) होगा। / Multiply \( \frac{1}{4-\sqrt{7}} \) by the conjugate. The denominator is (16-7=9) and the numerator is \(4+\sqrt{7}\).

Which concept should I revise for this Mathematics MCQ?

Multiply \( \frac{1}{4-\sqrt{7}} \) by the conjugate. The denominator is (16-7=9) and the numerator is \(4+\sqrt{7}\).

What exam hint can help solve this Mathematics question?

\( \frac{1}{4-\sqrt{7}} \) को संयुग्मी से गुणा करें। हर (16-7=9) और अंश \(4+\sqrt{7}\) होगा।