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If (x=2+\sqrt{7}), what is the correct value of (x+\frac{1}{x})?
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Answer and explanation
Correct answer: (\frac{4+4\sqrt{7}}{3})
(\frac{1}{2+\sqrt{7}}=\frac{\sqrt{7}-2}{3}) so the total is (\frac{4+4\sqrt{7}}{3}). In exams rationalize the reciprocal first.
Frequently asked questions
What is the correct answer to this question?
(\frac{4+4\sqrt{7}}{3})
Why is this the correct answer?
(\frac{1}{2+\sqrt{7}}=\frac{\sqrt{7}-2}{3}) so the total is (\frac{4+4\sqrt{7}}{3}). 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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