84×3 = 252:
sqrt(-8252)
252 (-8) = -2016:
sqrt(-2016 )
sqrt(-2016) = sqrt(-1) sqrt(2016) = i sqrt(2016):
i sqrt(2016)
sqrt(2016) = sqrt(32×9×7) = sqrt(2^5×3^2×7):
i sqrt(2^5 3^2 7)
sqrt(2^5 3^2 7) = sqrt(2^5) sqrt(3^2) sqrt(7) = 2^(5/2)×3^(2/2) sqrt(7) = 4 sqrt(2)×3 sqrt(7):
i×4 sqrt(2)×3 sqrt(7)
4×3 = 12:
i×12 sqrt(2) sqrt(7)
sqrt(2) sqrt(7) = sqrt(2×7):
i×12 sqrt(2×7)
2×7 = 14:
Answer: | i×12 sqrt(14 )
