Asked by vt5
What is the following sum?
4 StartRoot 5 EndRoot + 2 StartRoot 5 EndRoot
6 StartRoot 10 EndRoot
8 StartRoot 10 EndRoot
6 StartRoot 5 EndRoot
8 StartRoot 5 EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the expression as
4√5 + 2√5 + 6√10 + 8√10 + 6√5 + 8√5.
Combine like terms:
√5 terms: 4+2+6+8 = 20 → 20√5
√10 terms: 6+8 = 14 → 14√10
So the sum is 20√5 + 14√10, which can also be written as 2(10√5 + 7√10) or 2√5(10 + 7√2).
4√5 + 2√5 + 6√10 + 8√10 + 6√5 + 8√5.
Combine like terms:
√5 terms: 4+2+6+8 = 20 → 20√5
√10 terms: 6+8 = 14 → 14√10
So the sum is 20√5 + 14√10, which can also be written as 2(10√5 + 7√10) or 2√5(10 + 7√2).
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