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

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

1) letter c.

2) 4 square root of 9

hope this

step-by-step explanation: