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What is the simplified form of \(\left(\sqrt{7}+\sqrt{5}\right)\left(\sqrt{7}-\sqrt{5}\right)+\sqrt{20}\)?
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Answer and explanation
Correct answer: \(2+2\sqrt{5}\)
The first product is \(7-5=2\), and \(\sqrt{20}=2\sqrt{5}\), so the answer is \(2+2\sqrt{5}\). In exams, identify the conjugate product first.
Frequently asked questions
What is the correct answer to this question?
\(2+2\sqrt{5}\)
Why is this the correct answer?
The first product is \(7-5=2\), and \(\sqrt{20}=2\sqrt{5}\), so the answer is \(2+2\sqrt{5}\). In exams, identify the conjugate product first.
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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