Asked by knmk
What is the following product?
StartRoot 10 EndRoot times StartRoot 10 EndRoot
10
10 StartRoot 10 EndRoot
100
2 StartRoot 10 EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the product as
√10 · √10 · 10 · 10√10 · 100 · 2√10.
Group the √10 factors: √10·√10·√10·√10 = (√10)^4 = 10^2 = 100.
Multiply the numeric coefficients: 10·10·100·2 = 20,000.
So the full product is 20,000 · 100 = 2,000,000.
√10 · √10 · 10 · 10√10 · 100 · 2√10.
Group the √10 factors: √10·√10·√10·√10 = (√10)^4 = 10^2 = 100.
Multiply the numeric coefficients: 10·10·100·2 = 20,000.
So the full product is 20,000 · 100 = 2,000,000.
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