Root of a Root: Identify the greater value

Choose the largest value:

$\sqrt{2}$

Choose the largest value:

All answers are correct

Choose the largest value:

$\sqrt[]{64}$

Choose the largest value:

$\sqrt{\sqrt{2}}$

Choose the largest value:

$\sqrt{4}$

Choose the largest value:

All values are equal

Choose the largest value:

All answers are correct

Choose the smallest value:

$\sqrt[4]{\sqrt[3]{1000}}$