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If (x=\sqrt{5}+\sqrt{2}) and (y=\sqrt{5}-\sqrt{2}), what is (x^2-y^2)?
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Answer and explanation
Correct answer: (4\sqrt{10})
(x^2-y^2=(x-y)(x+y)=(2\sqrt{2})(2\sqrt{5})=4\sqrt{10}). In exams use identities to avoid long calculation.
Frequently asked questions
What is the correct answer to this question?
(4\sqrt{10})
Why is this the correct answer?
(x^2-y^2=(x-y)(x+y)=(2\sqrt{2})(2\sqrt{5})=4\sqrt{10}). In exams use identities to avoid long calculation.
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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