Mathematics, 15.10.2019 16:20 germainenez3288
Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity (2+√-25)(4-√-100)
Answers: 2
![\bf (2+\sqrt{-25})(4-\sqrt{-100})\implies (2+\sqrt{-1\cdot 25})(4-\sqrt{-1\cdot 100}) \\\\\\ (2+\sqrt{-1}\cdot \sqrt{25})(4-\sqrt{-1}\cdot \sqrt{100})\implies (2+i\cdot 5)(4-i\cdot 10) \\\\\\ (2+5i)(4-10i)\implies 8~~\begin{matrix} -20i+20i \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ -50i^2\implies 8-50i^2\leftarrow recall~i^2=-1 \\\\\\ 8-50(-1)\implies 8+50\implies 58](/tpl/images/0322/1607/56eb9.png)
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