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What is the rationalized form of (\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}})?
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Answer and explanation
Correct answer: (\frac{4-\sqrt{15}}{2})
Multiplying by the conjugate gives numerator ((\sqrt{5}-\sqrt{3})^2=8-2\sqrt{15}) and denominator (2). So the value is (4-\sqrt{15}) and the correct simple option is A.
Frequently asked questions
What is the correct answer to this question?
(\frac{4-\sqrt{15}}{2})
Why is this the correct answer?
Multiplying by the conjugate gives numerator ((\sqrt{5}-\sqrt{3})^2=8-2\sqrt{15}) and denominator (2). So the value is (4-\sqrt{15}) and the correct simple option is A.
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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