How do you write all the names that apply to #-sqrt100#?

1 Answer
Jun 11, 2017

Answer:

Asking for "all" properties is impossible to fulfil - Anyway, some of the obvious ones are listed below.

Explanation:

Let #x=-sqrt100#

(i) #x in RR#

(ii) #x < 0#

(iii) #x = -sqrt(2^2xx5^2) = -(2xx5) = -10 -> x in ZZ#

(iv) #x^2 = 100#

NB: There are an infinite number of possible properties that could be constructed to define #x# in this example. Understanding that is probably more important than the ones listed above.