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The trinomial $x^2+12x+36$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=12^2-4\left(1\right)\left(36\right) = 0$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (x^2+12x+36)^1/2. The trinomial x^2+12x+36 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Cancel exponents 2 and \frac{1}{2}.