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why does -4i*i=4? what happens to the i when you multiply it

Sagot :

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

As we know that :

  • [tex] {i}^{2} = i \times i = - 1[/tex]

so, over here

  • [tex] - 4i \times i[/tex]

  • [tex] - 4 {i}^{2} [/tex]

plugging the value of i² as -1

  • [tex] - 4 (- 1)[/tex]

  • [tex]4[/tex]