Which point on the number line is represented by \( -\sqrt{0.36} \)?
Answer and explanation
Correct answer: \(-0.6\)
\(\sqrt{0.36}=0.6\) because \(0.6^2=0.36\). The negative sign outside the radical makes the entire value negative, so \(-\sqrt{0.36}=-0.6\). Option B ignores the outside negative sign, while C and D have incorrect decimal values. Exam tip: first evaluate the principal square root, then apply any sign outside the radical.
Frequently asked questions
What is the correct answer to this question?
\(-0.6\)
Why is this the correct answer?
\(\sqrt{0.36}=0.6\) because \(0.6^2=0.36\). The negative sign outside the radical makes the entire value negative, so \(-\sqrt{0.36}=-0.6\). Option B ignores the outside negative sign, while C and D have incorrect decimal values. Exam tip: first evaluate the principal square root, 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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