Question

Find |4 + 3i| |4 + 3i|.

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Please show all your work. 'i' is an imaginary number

Answer 1

`\bf \textit{recall that }\qquad i^2=-1\\\\ -------------------------------\\\\ |4+3i|~|4+3i|\implies (4+3i)(4+3i)\implies 16+12i+12i+9i^2 \\\\\\ 16+24i+9(-1)\implies 16+24i-9\implies 7+24i`