If \(x=\sqrt{19}\), what is the value of \(x^2\)?
Answer and explanation
Correct answer: 19
Since \((\sqrt{19})^2=19\), squaring removes the square root and yields the radicand. Option B is incorrect because it is the original \(\sqrt{19}\), option C is \(2\times19\) (wrong), and option D equals \(19^2\) (also wrong). Exam tip: For any nonnegative \(a\), \((\sqrt{a})^2=a\).
Frequently asked questions
What is the correct answer to this question?
19
Why is this the correct answer?
Since \((\sqrt{19})^2=19\), squaring removes the square root and yields the radicand. Option B is incorrect because it is the original \(\sqrt{19}\), option C is \(2\times19\) (wrong), and option D equals \(19^2\) (also wrong). Exam tip: For any nonnegative \(a\), \((\sqrt{a})^2=a\).
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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