If \(x=\sqrt{13}\), what is the value of \(x^2\)?
Answer and explanation
Correct answer: 13
Since \((\sqrt{13})^2=13\), squaring the square root returns the original nonnegative number. Option B is just the original \(x\), not \(x^2\). Option C (169) results from incorrectly squaring 13 itself. Option D is wrong because \(x^2\) cannot be negative here. Exam tip: whenever \(x=\sqrt{a}\) for \(a\ge0\), you can directly replace \(x^2\) with \(a\).
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
Since \((\sqrt{13})^2=13\), squaring the square root returns the original nonnegative number. Option B is just the original \(x\), not \(x^2\). Option C (169) results from incorrectly squaring 13 itself. Option D is wrong because \(x^2\) cannot be negative here. Exam tip: whenever \(x=\sqrt{a}\) for \(a\ge0\), you can directly replace \(x^2\) with \(a\).
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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