lorriegoodman525 lorriegoodman525
  • 14-06-2018
  • Mathematics
contestada

which of the following numbers will produce an irrational number when multiplied by 0.5?

0.555...

square root 3

1/3

pi


there can be more than one answer.

Respuesta :

carlosego
carlosego carlosego
  • 27-06-2018
To solve this problem you must apply the proccedure shown below:
 1. By definition, the you can't write the irrational numbers as a simple fraction.
 2. Keeping this on mind, you have:
 [tex]0.555=(111/200)(0.5)=111/400 [/tex] (Rational)
 [tex]( \sqrt{3}) (0.5)= \sqrt{3}/2[/tex] (Irrational)
 [tex](1/3)(0.5)=1/6 [/tex] (Rational)
 [tex]( \pi )(0.5)[/tex]=[tex] \pi /2 [/tex] (Irrational)
 The answer is: [tex] \sqrt{3}, \pi [/tex]
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