What is the simplified form of \((\sqrt{7}+\sqrt{7})\)?
Answer and explanation
Correct answer: \(2\sqrt{7}\)
Both terms contain the same radical, so their coefficients are added: \(\sqrt{7}+\sqrt{7}=(1+1)\sqrt{7}=2\sqrt{7}\). \(\sqrt{14}\) is incorrect because radicands are not added directly when like radicals are combined. In an exam, treat radicals with the same radicand like like algebraic terms.
Frequently asked questions
What is the correct answer to this question?
\(2\sqrt{7}\)
Why is this the correct answer?
Both terms contain the same radical, so their coefficients are added: \(\sqrt{7}+\sqrt{7}=(1+1)\sqrt{7}=2\sqrt{7}\). \(\sqrt{14}\) is incorrect because radicands are not added directly when like radicals are combined. In an exam, treat radicals with the same radicand like like algebraic terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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