Evaluate 7777777 root of 7777777

Problem

√(7777777,7777777)

Solution

1. Identify the expression as a radical in the form √(n,n) where n=7777777

2. Rewrite the radical expression using a fractional exponent using the rule √(n,x)=x1/n

3. Substitute the value n=7777777 into the exponential form.

4. Conclude that the expression represents the principal real root, which cannot be simplified further into a terminating decimal or integer.

Final Answer

√(7777777,7777777)=7777777

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