If \(x=\frac{\sqrt{169}}{6}\), what value of \(x\) is represented on the number line?
Answer and explanation
Correct answer: \(\frac{13}{6}\)
Since \(169=13^2\), we have \(\sqrt{169}=13\). Therefore, \(x=\frac{13}{6}\), so this is the point represented on the number line. Option B incorrectly leaves 169 in the numerator, while option C reverses the fraction. Exam tip: simplify the square root first and then perform the remaining operation.
Frequently asked questions
What is the correct answer to this question?
\(\frac{13}{6}\)
Why is this the correct answer?
Since \(169=13^2\), we have \(\sqrt{169}=13\). Therefore, \(x=\frac{13}{6}\), so this is the point represented on the number line. Option B incorrectly leaves 169 in the numerator, while option C reverses the fraction. Exam tip: simplify the square root first and then perform the remaining operation.
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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