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

Answer 1

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.