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If (\frac{1}{\sqrt{7}+\sqrt{6}}) is rationalized, what is its value?
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Answer and explanation
Correct answer: (\sqrt{7}-\sqrt{6})
The conjugate of the denominator is (\sqrt{7}-\sqrt{6}), and the denominator becomes (7-6=1). In exams the answer simplifies when the difference is (1).
Frequently asked questions
What is the correct answer to this question?
(\sqrt{7}-\sqrt{6})
Why is this the correct answer?
The conjugate of the denominator is (\sqrt{7}-\sqrt{6}), and the denominator becomes (7-6=1). In exams the answer simplifies when the difference is (1).
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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