Simplify square root of x^2+8x+16

$\sqrt{x^{2} + 8 x + 16}$

Factor using the perfect square rule.

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Rewrite $16$ as $4^{2}$ .

$\sqrt{x^{2} + 8 x + 4^{2}}$

Check the middle term by multiplying $2 a b$ and compare this result with the middle term in the original expression.

$2 a b = 2 \cdot x \cdot 4$

Simplify.

$2 a b = 8 x$

Factor using the perfect square trinomial rule $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where $a = x$ and $b = 4$ .

$\sqrt{{(x + 4)}^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x + 4$

Simplify square root of x^2+8x+16

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