F of G function question - Square root inside a square root?

[nukeman]

Homework Statement

The image has the question I don't quite understand!

Homework Equations

The Attempt at a Solution

I understand how to get √(√2 - x) but I don't get how they end up with: 4√2 - x

?

 

[Mark44]

Homework Statement

The image has the question I don't quite understand!

Homework Equations

The Attempt at a Solution

I understand how to get √(√2 - x) but I don't get how they end up with: 4√2 - x

Your notation is incorrect. This is what you wrote:
$$ \sqrt{\sqrt{2} - x}$$

What you should have written is
$$ \sqrt{\sqrt{2-x}}$$

Without using LaTeX, as I did, you could have written √(√(2 - x))

Do you see the difference?

 

[nukeman]

Your notation is incorrect. This is what you wrote:
$$ \sqrt{\sqrt{2} - x}$$

What you should have written is
$$ \sqrt{\sqrt{2-x}}$$

Without using LaTeX, as I did, you could have written √(√(2 - x))

Do you see the difference?

Ah yea, I see the difference. Gotta start writing in latex!

I still don't understand the problem as I pointed out in the picture. ?

 

[Mark44]

Write the expression in exponent form rather than radical form.