What is the rationalized form of (\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}})?
Answer and explanation
Correct answer: (5+2\sqrt{6})
Multiplying by the conjugate of the denominator gives denominator (1) and numerator ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}). In exams apply the conjugate in one step.
Frequently asked questions
What is the correct answer to this question?
(5+2\sqrt{6})
Why is this the correct answer?
Multiplying by the conjugate of the denominator gives denominator (1) and numerator ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}). In exams apply the conjugate in one step.
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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