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Question
Find the square root of:
\[4\frac{29}{29}\]
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Solution
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:
\[\sqrt{4\frac{29}{49}} = \sqrt{\frac{225}{49}} = \frac{\sqrt{225}}{\sqrt{49}}\]
\[\sqrt{225} = 15\]
\[\sqrt{49} = 7\]
\[ \therefore \sqrt{4\frac{29}{49}} = \frac{15}{7}\]
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