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i = sqrt(-1) sqrt(-b)=isqrt(b)
sqrt(-4)=isqrt(4) = 2i sqrt(-9)=isqrt(9)=3i sqrt(-12)=isqrt(12)=isqrt(2^23)=i2sqrt(3) sqrt(-13)=isqrt(13)
(3-8i)(5+2i)=15+6i-40i-16i^2 15-34i-16*-1 31-34i
(5-2i)(5+2i) 5^2-2i^2 25-4i^2 25+4 29
(4+3i)^2 (a+b)^2=a^2+2ab+b^2 4^2+2(4)(3i)+3i^2 16+24i+9i^2 16+24i-9=7+24i