Simplify the radical expression. If appropriate, include absolute values.
-$\sqrt{4 x^{2}+24 x+36}$

A) $|2 x+6|$
B) $2 x+6+\sqrt{24 x}$
C) $|2 x-6|$
D) $-2 x+8$

Question

Simplify the radical expression. If appropriate, include absolute values.
-$\sqrt{4 x^{2}+24 x+36}$

A) $|2 x+6|$
B) $2 x+6+\sqrt{24 x}$
C) $|2 x-6|$
D) $-2 x+8$

Quizplus · Accepted Answer

The expression under the square root, $4x^2 + 24x + 36$, can be factored as $(2x + 6)^2$. Taking the square root of this gives $|2x + 6|$, because the square root of a square is the absolute value of the base.

Simplify the Radical Expression 4x2+24x+36\sqrt{4 x^{2}+24 x+36}4x2+24x+36​ A) ∣2x+6∣|2 x+6|∣2x+6∣ B) 2x+6+24x2 x+6+\sqrt{24 x}2x+6+24x​

Simplify the Radical Expression $\sqrt{4 x^{2}+24 x+36}$ A) $|2 x+6|$ B) $2 x+6+\sqrt{24 x}$