M4maths Maths Puzzle Category

[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)] ........... infinite = x
Then x will be

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[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)]^[Sqrt(2)] ........... infinite = x

or [Sqrt(2)]^x = x

or [Sqrt(2)] = 2^(1/2) = x^(1/x)

so, x = 2
10 years agoHelpfull: Yes(7) No(0)

The square root of 2 is the only real number other than 1 whose infinite is equal to its square.
10 years agoHelpfull: Yes(3) No(0)

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