Which number does \(-\sqrt{1.69}\) represent on the number line?
Answer and explanation
Correct answer: \(-1.3\)
Since \(1.3^2=1.69\), we have \(\sqrt{1.69}=1.3\). The negative sign outside the radical makes the result negative, so \(-\sqrt{1.69}=-1.3\). Option B ignores the negative sign, while option D gives the radicand itself instead of its square root. Exam tip: find the square root first and then apply any sign outside the radical.
Frequently asked questions
What is the correct answer to this question?
\(-1.3\)
Why is this the correct answer?
Since \(1.3^2=1.69\), we have \(\sqrt{1.69}=1.3\). The negative sign outside the radical makes the result negative, so \(-\sqrt{1.69}=-1.3\). Option B ignores the negative sign, while option D gives the radicand itself instead of its square root. Exam tip: find the square root first and 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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