Math Help - [SOLVED] Quadratic expression

1. [SOLVED] Quadratic expression

Given: (x^2 + 2ax + 1)^(1/2)

is it correct to say that x^2 + 2ax + 1 = (x + a)^2 (and make the assumption that a^2 = 1) such that

(x^2 + 2ax + 1)^(1/2) = |(x + a)| ?

2. x^2 + 2ax + 1 = (x + a)^2

this is not correct for $a\ne 1$

$(x+a)^2 = x^2 +2ax +a^2$