If the ratio of areas of two squares is 2 to 1 then what is the ratio of their sides?

Let A1 be the area of the first square and X the length of its side

Let A2 be the area of the second square and Y the length of its side

A1 = X2 , A2 = Y2 , A1/A2 = X2/Y2 , Square Root (A1/A2) = Square Root ( X2/Y2),

X/Y = Square Root (A1/A2) = Square Root (2/1) = 1.414