यदि किसी द्विघात बहुपद के शून्यक \(3+\sqrt{5}\) और \(3-\sqrt{5}\) हैं, तो शून्यकों का योग क्या है?

If the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.

Step 2

Why this answer is correct

The correct answer is B. (6). The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.

Step 3

Exam Tip

योग (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6) है। संयुग्मी अपरिमेयों में वर्गमूल भाग कट जाता है।

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यदि किसी द्विघात बहुपद के शून्यक \(3+\sqrt{5}\) और \(3-\sqrt{5}\) हैं, तो शून्यकों का योग क्या है? / If the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?

Correct Answer: B. (6). Explanation: योग (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6) है। संयुग्मी अपरिमेयों में वर्गमूल भाग कट जाता है। / The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.

Which concept should I revise for this Mathematics MCQ?

The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.

What exam hint can help solve this Mathematics question?

योग (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6) है। संयुग्मी अपरिमेयों में वर्गमूल भाग कट जाता है।