Hello from MrBillDoesMath!
Answer:
See Discussion below
Discussion:
a) The sqrt( -50) is an imaginary number because -50 is < 0.
(By way of contrast: sqrt(50) is a real number)
b. sqrt(-50)/ sqrt(5) =
sqrt ( 25 * 2 * (-1)) / sqrt (5) =
5 sqrt(2) * i / sqrt(5) = (as sqrt(25) = 5 and 5 = sqrt(5) * sqrt(5) )
sqrt(5) * sqrt(2) * i =
sqrt(10) *i
c. i^22 =
(i^2)^10 * i^2 =
(-1)^10 * (-1) = => as (-1)^10 = +1
=-1
Thank you,
MrB
