Which option gives the correct decimal bound for \(\sqrt{24}\) on the number line?

Correct answer: \(4.8<\sqrt{24}<4.9\)

Since \(4.8^2=23.04\) and \(4.9^2=24.01\), and \(23.04<24<24.01\), it follows that \(4.8<\sqrt{24}<4.9\). Options B and D give intervals that are too small, while both endpoints in option C have squares greater than 24. Exam tip: To verify a decimal bound for a square root, compare the squares of its endpoints with the given number.