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Question
Find the square root of:
\[75\frac{46}{49}\]
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Solution
We know:
\[\sqrt{75\frac{46}{49}} = \sqrt{\frac{3721}{49}} = \frac{\sqrt{3721}}{\sqrt{49}}\]
Now, let us compute the square roots of the numerator and the denominator separately.
\[\sqrt{49} = 7\]
\[ \therefore \sqrt{75\frac{46}{49}} = \frac{61}{7}\]
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