Solve the equation by extracting the square roots.
-$$( r + 3 ) ^ { 2 } = 15$$
A) $\mathrm { r } = \sqrt { 15 }$ or $\mathrm { r } = \sqrt { 15 }$
B) $r = - 3 + \sqrt { 15 }$ or $r = - 3 - \sqrt { 15 }$
C) $\mathrm { r } = \sqrt { 12 }$ or $\mathrm { r } = - \sqrt { 12 }$
D) $r = 3 + \sqrt { 15 }$ or $r = 3 - \sqrt { 15 }$

Question

Quizplus · Accepted Answer

First, isolate the squared term: $(r + 3)^2 = 15$. Taking the square root of both sides gives $r + 3 = \pm\sqrt{15}$. Solving for $r$ yields $r = -3 \pm\sqrt{15}$, which matches choice B.

Solve the Equation by Extracting the Square Roots (r+3)2=15( r + 3 ) ^ { 2 } = 15(r+3)2=15

Solve the Equation by Extracting the Square Roots $( r + 3 ) ^ { 2 } = 15$