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The square root of \(33\frac{{16}}{{25}}\) is:
1. \(4\frac{2}{5}\)
2. \(4\frac{3}{5}\)
3. \(5\frac{4}{5}\)
4. \(5\frac{1}{5}\)

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Correct Answer - Option 3 : \(5\frac{4}{5}\)

Given:

A number \(33{16\over 25}\)

Detailed solution:

We can write \(33{16\over 25}\) as \( {841\over 25}\)

So, the square root of  \( {841\over 25}\) = \({29\over 5}\)

Also, \({29\over 5}\)can be written as \(5{4 \over 5}\)

∴ The square root of \(33\frac{{16}}{{25}}\) is  \(5{4 \over 5}\)

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