determine wether each of the following numbers is real or imaginary. A) i B) a square root of 5 C) (2i)^2 D) (-5)^2 E) square root of -3 f) negative square root of 10

Question

determine wether each of the following numbers is real or imaginary.

A) i

B) a square root of 5

C) (2i)^2

D) (-5)^2

E) square root of -3

f) negative square root of 10

Answer 1

A) i = square root of -1, which is imaginary. there is no real square root of any negative numbrer

B) square root of 25 = 5 or -5, both real numbers, but if you just say square root it usually means the positive square root unless specified otherwise

C) (2i)^2 = -4, a real number, a real, rational, integer number

D) (-5)^2 = 25, a real number, real, rational integer

E) square root of -3 is an imaginary number. any square root of a negative number is imaginary

square root of -3 is about 1.732i

F) negative square root of 10 is about -3.16, a real number. but irrational

F)