How would i factorize this?

Question

π√x + ^π/₄ √x√y

My attempt:

π√x is visible before and after the plus, So can it be seen as the common Factor?, with that said it may or may not look like this:

π√x + ^π/₄ √x√y

= π√x (1/4√y)

Answer 1

Not quite!

π√x[1+(1/4)√y]

Answer 2

π√x + (1/4)π√x√y

Almost. When you factor out the π√x, you leave a 1 behind, not a zero.

π√x(1 + (1/4)√y)

One way to check is to multiply the factored form out and see if you end up with the starting expression