Consider the imaginary numbers.

(a) what makes the following an imaginary number? (use complete sentences)

Hello from MrBillDoesMath!

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

europa2433

europa2433

step-by-step explanation:

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?