A. शून्यक \(6+\sqrt{5}\) और \(6-\sqrt{5}\)/Zeroes \(6+\sqrt{5}\) and \(6-\sqrt{5}\)
Step 1
Concept
With rational coefficients, irrational parts occur in conjugate pairs. Only \(6+\sqrt{5}\) and \(6-\sqrt{5}\) have both rational sum and rational product.
Step 2
Why this answer is correct
The correct answer is A. शून्यक \(6+\sqrt{5}\) और \(6-\sqrt{5}\) / Zeroes \(6+\sqrt{5}\) and \(6-\sqrt{5}\). With rational coefficients, irrational parts occur in conjugate pairs. Only \(6+\sqrt{5}\) and \(6-\sqrt{5}\) have both rational sum and rational product.
Step 3
Exam Tip
परिमेय गुणांकों में अपरिमेय भाग संयुग्मी जोड़े में आता है। केवल \(6+\sqrt{5}\) और \(6-\sqrt{5}\) का योग और गुणनफल दोनों परिमेय हैं।
A. \(4+\sqrt{6}\) और \(4-\sqrt{6}\)/\(4+\sqrt{6}\) and \(4-\sqrt{6}\)
Step 1
Concept
For rational coefficients, the conjugate \(a-\sqrt{b}\) accompanies \(a+\sqrt{b}\). Hence the first pair is correct.
Step 2
Why this answer is correct
The correct answer is A. \(4+\sqrt{6}\) और \(4-\sqrt{6}\) / \(4+\sqrt{6}\) and \(4-\sqrt{6}\). For rational coefficients, the conjugate \(a-\sqrt{b}\) accompanies \(a+\sqrt{b}\). Hence the first pair is correct.
Step 3
Exam Tip
परिमेय गुणांकों के लिए \(a+\sqrt{b}\) का संयुग्मी \(a-\sqrt{b}\) साथ आता है। इसलिए पहला युग्म सही है।
