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Subjects
Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsHardLevel 44
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What is the value of ((\sqrt{2}+\sqrt{8})^2)?

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Answer and explanation

Correct answer: (,18,)

Since (\sqrt{8}=2\sqrt{2}), ((\sqrt{2}+\sqrt{8})^2=(3\sqrt{2})^2=18). In exams, simplify the surd before squaring.

Related tags

PolynomialsSurdsSquaresReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(,18,)

Why is this the correct answer?

Since (\sqrt{8}=2\sqrt{2}), ((\sqrt{2}+\sqrt{8})^2=(3\sqrt{2})^2=18). In exams, simplify the surd before squaring.

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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