Question

solve by using the square root property. e\\((v + 6)^2 = 12\\)

Explanation:

Step1: Apply square root property

Take the square root of both sides: $v + 6=\pm\sqrt{12}$

Step2: Simplify $\sqrt{12}$

Simplify $\sqrt{12}$ as $2\sqrt{3}$, so $v + 6=\pm2\sqrt{3}$

Step3: Solve for v

Subtract 6 from both sides: $v=- 6\pm2\sqrt{3}$

Answer:

$v=-6 + 2\sqrt{3}$ or $v=-6 - 2\sqrt{3}$