[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf( \sqrt { 3 } - 10 i ) ( \sqrt { 3 } + 10 i )[/tex]
Apply the distributive property by multiplying each term of [tex]\sf \sqrt{3}-10i[/tex] by each term of [tex]\sf\sqrt{3}+10i[/tex].
[tex] \sf\left(\sqrt{3}\right)^{2}+10i\sqrt{3}-10i\sqrt{3}+100 [/tex]
The square of [tex]\sf\sqrt{3}[/tex] is 3.
[tex] \sf3+10i\sqrt{3}-10i\sqrt{3}+100 [/tex]
Combine 10i [tex]\sf\sqrt{3}[/tex] and -10i[tex]\sf\sqrt{3}[/tex] to get 0.
[tex] \sf \: 3+100 [/tex]
Add 3 and 100 to get 103.
[tex] = \boxed{ \bf \: 103}[/tex]
Attachment picture -> the answer shown by an online calculator (103 is the correct answer).
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Hope it helps.
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