What is the simplest rationalized form of (\frac{\sqrt{17}+\sqrt{13}}{\sqrt{17}-\sqrt{13}})?
Answer and explanation
Correct answer: (\frac{15+\sqrt{221}}{2})
Multiplying by the conjugate gives (\frac{30+2\sqrt{221}}{4}=\frac{15+\sqrt{221}}{2}). In exams divide by the common factor at the end.
Frequently asked questions
What is the correct answer to this question?
(\frac{15+\sqrt{221}}{2})
Why is this the correct answer?
Multiplying by the conjugate gives (\frac{30+2\sqrt{221}}{4}=\frac{15+\sqrt{221}}{2}). In exams divide by the common factor at the end.
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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