We are given the following expression
[tex]\sqrt[]{2}^{\sqrt[]{7}}[/tex]
Here the base is √2 and its power (exponent) is √7
The value of this expression can easily be calculated using any scientific calculator.
The maximum number of decimal places depends upon the type of calculator you use.
[tex]\sqrt[]{2}^{\sqrt[]{7}}=2.50164253682[/tex]
Let us round this value to 7 decimal places.
[tex]\sqrt[]{2}^{\sqrt[]{7}}=2.5016425[/tex]
