Which point on the number line represents \(-\sqrt{2.56}\)?
Answer and explanation
Correct answer: \(-1.6\)
Since \(2.56=(1.6)^2\), we have \(\sqrt{2.56}=1.6\). The negative sign outside the radical changes the entire value to negative, so \(-\sqrt{2.56}=-1.6\). Option B omits the negative sign, while C and D result from misreading the decimal or the radicand as the square root. Exam tip: find the principal square root first, then apply any sign outside the radical.
Frequently asked questions
What is the correct answer to this question?
\(-1.6\)
Why is this the correct answer?
Since \(2.56=(1.6)^2\), we have \(\sqrt{2.56}=1.6\). The negative sign outside the radical changes the entire value to negative, so \(-\sqrt{2.56}=-1.6\). Option B omits the negative sign, while C and D result from misreading the decimal or the radicand as the square root. Exam tip: find the principal square root first, then apply any sign outside the radical.
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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