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. $\mathrm{i}$

Answer

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Answer

Final Answer: $\boxed{\text{c. iii}}$

Steps

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: $\boxed{\text{c. iii}}$