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Step-by-step explanation:
let sqrt(24+10i) = (a+ib)
square both sides
24+ 10i = a^2-b^2 +2abi
equatae real and imaginary parts
a^2-b^2 = 24
2ab = 10 or ab = 5
by factoring ab = 5 we get a= 5 b = 1 and a^2-b^2 = 5^2-1 = 24
so we get square root = 5+ i
and -(5+i) also
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