\(\frac{59}{100} =0.59 \\ \sqrt{ \frac{59}{100} } = \sqrt{0.59} \\
\frac{ \sqrt{59} }{10} = \sqrt{0.59} \\ \sqrt{59} =10 \times
\sqrt{0.59}\)
Now
\(0.59= \frac{100}{169} \\ \sqrt{0.59} = \sqrt{ \frac{100}{169} } = \frac{10}{13} =0.769\)
Therefore,
\(\sqrt{59} =10 \times 0.769=7.69\)
