Asked by knmk
What is the following product?
(2 StartRoot 7 EndRoot + 3 StartRoot 6 EndRoot) (5 StartRoot 2 EndRoot + 4 StartRoot 3 EndRoot)
6 StartRoot 10 EndRoot + 16 StartRoot 2 EndRoot + 42
8 StartRoot 10 EndRoot + 30 StartRoot 2 EndRoot + 66
7 StartRoot 14 EndRoot + 6 StartRoot 21 EndRoot + 16 StartRoot 3 EndRoot + 21 StartRoot 2 EndRoot
10 StartRoot 14 EndRoot + 8 StartRoot 21 EndRoot + 30 StartRoot 3 EndRoot + 36 StartRoot 2 EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
Compute by distributing (FOIL):
(2√7)(5√2) = 10√14
(2√7)(4√3) = 8√21
(3√6)(5√2) = 15√12 = 15·2√3 = 30√3
(3√6)(4√3) = 12√18 = 12·3√2 = 36√2
Sum: 10√14 + 8√21 + 30√3 + 36√2.
(2√7)(5√2) = 10√14
(2√7)(4√3) = 8√21
(3√6)(5√2) = 15√12 = 15·2√3 = 30√3
(3√6)(4√3) = 12√18 = 12·3√2 = 36√2
Sum: 10√14 + 8√21 + 30√3 + 36√2.
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