The best would be to use a scientific calculator, one that can calculate any root. You can also raise the number 15625 to the power (1/6) - this is the same as taking the 6th. root. Or, you can try raising several numbers to the 6th. power, until you find one that is close enough.
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The sixth root of 15625, or 15625 ^ (1/6) is equal to 5.
15625 try it using a calculator
The cube root of the square root is the sixth root. The sixth root of 729 = 3
sixth root of 27 = 1.73205081 according to google.
Rounded to five decimal places, the sixth root of 1.109 is equal to 1.01739.