Question

What is the value of ((square root 2 )^sqrt2) ^ sqrt2 ??

Very interesting. ...

$y = ({ ({ \sqrt{2} )}^{ \sqrt{2} } })^{ \sqrt{2} }$
What is the value of y?

Answer 1

see attachment........

Answer 2

hi sir
here's your answer looking for

${{ ({ \sqrt{2} })^{ \sqrt{2} } }}^{ \sqrt{2} } \\ = { \sqrt{2} }^{ \sqrt{2} \times \sqrt{2} } \\ = { \sqrt{2} }^{2} \\ = 2$
so, 2 is your answer

hope it's satisfactory result