Solve (v+8)^2-72=0

$$( v + 8 ) ^ { 2 } - 72 = 0$$

Solve for v

$$v=6\sqrt{2}-8\approx 0.485281374$$

$$v=-6\sqrt{2}-8\approx -16.485281374$$

Steps by Finding Square Root

Add 72 to both sides of the equation.

$$\left(v+8\right)^{2}-72+72=72$$

Subtracting 72 from itself leaves 0.

$$\left(v+8\right)^{2}=72$$

Take the square root of both sides of the equation.

$$v+8=6\sqrt{2} v+8=-6\sqrt{2}$$

Subtract 8 from both sides of the equation.

$$v+8-8=6\sqrt{2}-8 v+8-8=-6\sqrt{2}-8$$

Subtracting 8 from itself leaves 0.

$$v=6\sqrt{2}-8 v=-6\sqrt{2}-8$$