Which form is obtained by rationalising the denominator of (\dfrac{2}{\sqrt{7}+\sqrt{5}})?
Answer and explanation
Correct answer: (,\sqrt{7}-\sqrt{5},)
Multiplying by (\sqrt{7}-\sqrt{5}) makes the denominator (7-5=2) and gives (\sqrt{7}-\sqrt{5}). In exams, use the conjugate.
Frequently asked questions
What is the correct answer to this question?
(,\sqrt{7}-\sqrt{5},)
Why is this the correct answer?
Multiplying by (\sqrt{7}-\sqrt{5}) makes the denominator (7-5=2) and gives (\sqrt{7}-\sqrt{5}). In exams, use the conjugate.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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