This worksheet provides structured practice for mastering addition and subtraction of square roots, essential skills for algebra students.

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🔧 How to Add or Subtract Square Roots

You can only add or subtract square roots if they have the same radical part (i.e., the same number under the square root). This is similar to combining like terms in algebra.

#### Step-by-step method:
1. Simplify each square root by factoring out perfect squares.
- Example: √12 = √(4 × 3) = √4 × √3 = 2√3
2. Combine like terms (same radical parts).
- Example: 2√3 + 5√3 = (2+5)√3 = 7√3
3. If radicals are different and cannot be simplified to match, they cannot be combined.

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✔ Example Problem:

Solve: √8 + √18

Step 1: Simplify each term
- √8 = √(4×2) = 2√2
- √18 = √(9×2) = 3√2

Step 2: Add like terms
- 2√2 + 3√2 = 5√2

✔ Final Answer: 5√2

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