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

{(√2)^√2}^√2} = ( √2 )^√2×√2
= (√2)^2
=2

Answer 2

The value of $y = ({ ({ \sqrt{2} )}^{ \sqrt{2} } )}^{ \sqrt{2} }$

= (√2)^√2×√2

= (√2) ²

= 2

So,the value of y = 2