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Algebra Difficulty 1.9 Junior Find the answer

If x+2=2\sqrt{x+2}=2, then (x+2)2(x+2)^2 equals:

Pick one

Solution

If we square both sides of the x+2=2\sqrt{x+2} = 2, we will get x+2=4x+2 = 4, if we square that again, we get (x+2)2=(E) 16(x+2)^2 = \boxed{\textbf{(E) }16}

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.