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If (x=3+\sqrt{10}), what is the value of (x+\frac{1}{x})?
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Answer and explanation
Correct answer: (2\sqrt{10})
(\frac{1}{3+\sqrt{10}}=\sqrt{10}-3), so the sum is (2\sqrt{10}). In exams rationalize the reciprocal first.
Frequently asked questions
What is the correct answer to this question?
(2\sqrt{10})
Why is this the correct answer?
(\frac{1}{3+\sqrt{10}}=\sqrt{10}-3), so the sum is (2\sqrt{10}). In exams rationalize the reciprocal first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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