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Solve Square Root Equation √(x + 5) = 8 find x

To solve the equation:

\[
\sqrt{x + 5} = 8
\]

Follow these steps:

1. **Square both sides** to eliminate the square root:

\[
(\sqrt{x + 5})^2 = 8^2
\]

This simplifies to:

\[
x + 5 = 64
\]

2. **Solve for** \(x\):

\[
x = 64 - 5
\]

\[
x = 59
\]

So, the solution is \(x = 59\).

Would you like a more detailed explanation, or do you have any questions?

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Here are some related questions:
1. How do you solve square root equations with different constants?
2. What if the equation had a negative result under the square root?
3. How would you solve a square root equation with variables on both sides?
4. What happens when you square both sides of an equation in general?
5. How do you check if a solution is valid for a square root equation?

**Tip**: Always check the solution in the original equation to ensure it doesn't introduce extraneous solutions.

Solve Square Root Equation √(x + 5) = 8 find x

Learn how to solve the square root equation √(x + 5) = 8 step by step. This problem covers essential algebraic concepts, such as square roots and basic equation solving, ideal for students in Grades 8-10.

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