Use logarithms to base '10.
Hence log(10) a^(1/50) Fiftieth root)
and log (10) a^(1/2) second root ( square root)
Under the rules of logarithms we can re-write as
[(1/50)log a] / [(1/2)log a]
Cancel down by 'log a' hence
(1/50) / ( 1/2)
1/50 X 2/1 =
2/50 = 1/25 the answer!!!!!!
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.18
The square root of 25 divided by 4 = 1.25
7.07 to 3 significant figures
Just check the squares of a few whole numbers. If 55 is between two of those squares, then its square root is also between the corresponding square roots.
Square root (75) / square root (3) = 5