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Which statement gives the correct position of (-\sqrt{4}) on the number line?
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Answer and explanation
Correct answer: −2
First, \(\sqrt{4}=2\). The negative sign outside the square root makes the value negative, so \(-\sqrt{4}=-(\sqrt{4})=-2\). Therefore, the point is \(-2\) on the number line. Exam tip: do not confuse \(-\sqrt{4}\) with \(\sqrt{-4}\).
Frequently asked questions
What is the correct answer to this question?
−2
Why is this the correct answer?
First, \(\sqrt{4}=2\). The negative sign outside the square root makes the value negative, so \(-\sqrt{4}=-(\sqrt{4})=-2\). Therefore, the point is \(-2\) on the number line. Exam tip: do not confuse \(-\sqrt{4}\) with \(\sqrt{-4}\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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