Of the strategies listed, which is most appropriate for solving $$ (m+11)^{2}=64 $$ ? What are the solutions? Enter your answers in the boxes. The square root property formula form The solutions are $$ \square $$ and $$ \square $$.

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The **square root property** is the most appropriate strategy for solving the equation $$ (m + 11)^{2} = 64 $$.

**Solving the equation:**

1. **Apply the square root property:**
   $$
   \sqrt{(m + 11)^{2}} = \sqrt{64}
   $$
   $$
   m + 11 = \pm 8
   $$

2. **Solve for $$ m $$ in both cases:**
   - **Case 1:** $$ m + 11 = 8 $$
     $$
     m = 8 - 11
     $$
     $$
     m = -3
     $$
   
   - **Case 2:** $$ m + 11 = -8 $$
     $$
     m = -8 - 11
     $$
     $$
     m = -19
     $$

**The solutions are $$ \boxed{-3} $$ and $$ \boxed{-19} $$.**
The most appropriate strategy is the square root property. The solutions are $$ m = -3 $$ and $$ m = -19 $$.

Of the strategies listed, which is most appropriate for solving \( (m+11)^{2}=64 \) ? What are the solutions? Enter your answers in the boxes. The square root property formula form The solutions are \( \square \) and \( \square \).

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