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The expression [(√2)√2]√2 gives

a natural number
a integer and not a natural number
a rational number but not an integer.
a real number but not a rational number

Correct Answer: a real number but not a rational number

Explanation:

Given expression = [(√2)^√2]^√2
= (√2)⁽²⁾^√2/2
= (√2)⁽²⁾^1/√2
= (2)^1/2 x 2^1/√2
= 2^{(2/2^1/√2)}
= (2)⁽²⁾^{(1/√2 - 1)}
which denotes a real number but not a rational number .

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