Question

Find the square root of:

\[4\frac{29}{29}\]

Answer 1

 By looking at the book's answer key, the fraction should be

\[\sqrt{4\frac{29}{49}}, \text{ not } \sqrt{4\frac{29}{29}}\] 

We know:

\[\sqrt{4\frac{29}{49}} = \sqrt{\frac{225}{49}} = \frac{\sqrt{225}}{\sqrt{49}}\]
\[\sqrt{225} = 15\]
\[\sqrt{49} = 7\]
\[ \therefore \sqrt{4\frac{29}{49}} = \frac{15}{7}\]