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Question
Find the square root of:
\[23\frac{394}{729}\]
Solution
We know:
\[\sqrt{23\frac{394}{729}} = \sqrt{\frac{17161}{729}} = \frac{\sqrt{17161}}{\sqrt{729}}\]
Now, let us compute the square roots of the numerator and the denominator separately.
\[\sqrt{729} = 27\]
\[ \therefore \sqrt{23\frac{394}{729}} = \frac{131}{27} = 4\frac{23}{27}\]
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