Which number produces an irrational number when multiplied by 0.5

A.
[tex] \sqrt{16} [/tex]
B. 0.555...

C.
[tex] \sqrt{3} [/tex]

D. 1/3​

Respuesta :

Answer:

  C.  √3

Step-by-step explanation:

When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.

Of the numbers offered, only √3 is irrational.

  √3 will produce an irrational product when multiplied by 0.5.

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The other values are all rational:

  A: 4

  B: 5/9

  D: 1/3