Name: Cynthia

Who is asking: Parent
Level: All

Question: justify algebreically, that:

2=the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + and so on, .......

If you are willing to agree that is a number then give it a name, say x, so

Notice that the part of the following expression in square brackets is a copy of x

Square both sides and solve for x.