Question

Add and subtract radicals quick check answer key for 8 th grade

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Answered by GPT-4o mini
Here’s a quick reference answer key for adding and subtracting radicals that you might use for an 8th-grade level quick check:

### Adding and Subtracting Radicals Quick Check Answer Key

#### Example Problems:

1. **√8 + √2**
- **Answer:** 3√2 (since √8 = 2√2)

2. **3√5 - √5**
- **Answer:** 2√5

3. **√12 + √3**
- **Answer:** 3√3 (since √12 = 2√3)

4. **√18 - √2**
- **Answer:** 4√2 (since √18 = 3√2)

5. **2√7 + 4√7**
- **Answer:** 6√7

6. **√20 + √5 - √5**
- **Answer:** 2√5 (since √20 = 2√5)

7. **√50 - 5√2**
- **Answer:** 0 (since √50 = 5√2)

8. **√32 + 3√2**
- **Answer:** 7√2 (since √32 = 4√2)

9. **√20 + √5 - √5**
- **Answer:** 2√5 (as √20 = 2√5)

10. **5√3 - 2√3 + √3**
- **Answer:** 4√3

#### Key Points for Students:
- Only like radicals (radicals with the same index and radicand) can be added or subtracted.
- Simplify radicals where possible before performing operations.

Feel free to adjust the problems according to the specific content you've covered or what needs additional practice.

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