Respuesta :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

  • B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

  • [tex]m = 0 = 0^{2}[/tex]
  • [tex]m\:=\:1\:=\:1^2[/tex]
  • [tex]m\:=\:4\:=\:2^2[/tex]
  • [tex]m\:=\:9\:=\:3^2[/tex]
  • [tex]m\:=\:16\:=\:4^2[/tex]
  • [tex]m\:=\:25\:=\:5^2[/tex]

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

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