Let u = one of the radical terms, say





Isolate the radical term:



Square both sides:



Replace u by  and u² by x+2





Isolate the radical term:



Divide every term by 2 since they are all even:



Square both sides:



25x + 50 = 144 - 24x + x²

Get 0 on the left side:

0 = x² - 49x + 94

Factor the right side:

0 = (x - 2)(x - 47}

Use the zero factor principle

x - 2 = 0        x - 47 = 0
    x = 2             x = 47

But we must always check a radical equation,
because sometimes there may be a "phony"
solution, called "extraneous".  

Checking x = 2








That checks so x = 2 is a solution.

Checking x = 47








That is false so x = 47 is a "phony"
or "irrational" solution.  So the
only solution is x = 2

Edwin