Simplify the radical expression. The variable represents a positive real number. $\sqrt { 28 x ^ { 2 } }$
A) $2 + x \sqrt { 7 }$
B) $2 + x + \sqrt { 7 }$
C) $2 x \sqrt { 7 }$
D) $7 x \sqrt { 5 }$
E) $2 \sqrt { 7 x }$

Question

Quizplus · Accepted Answer

The expression $\sqrt { 28 x ^ { 2 } }$ simplifies to $\sqrt { 4 \cdot 7 \cdot x^2 }$, which further simplifies to $2x\sqrt{7}$, because $\sqrt{4}$ is 2, $\sqrt{x^2}$ is $x$ (since $x$ is a positive real number), and $\sqrt{7}$ remains under the radical.

Simplify the Radical Expression 28x2\sqrt { 28 x ^ { 2 } }28x2​

Simplify the Radical Expression $\sqrt { 28 x ^ { 2 } }$