Problem
4. Which fraction has a square root between 3 and 4 ? i) 52 ii) 61 iii) $\begin{array}{r}37 \\ 4\end{array}$ iv) 79 a. iv b. ii c. iii d. $\mathrm{i}$
Solution
Step 1 ：Calculate the square roots of the given numbers: \(\sqrt{52}\), \(\sqrt{61}\), \(\sqrt{\frac{37}{4}}\), and \(\sqrt{79}\).
Step 2 ：Find the square roots: \(\sqrt{52} \approx 7.21\), \(\sqrt{61} \approx 7.81\), \(\sqrt{\frac{37}{4}} \approx 3.04\), and \(\sqrt{79} \approx 8.89\).
Step 3 ：Check which square root lies between 3 and 4: \(\sqrt{\frac{37}{4}} \approx 3.04\) is the only one.
Step 4 ：Final Answer: \(\boxed{\text{c. iii}}\)
