Which number produces an irrational number when multiplied by 0.5 A. √(16) B. 0.555... C. √(3) D. 1/3​

Question

Which number produces an irrational number when multiplied by 0.5

A.

`√(16)`
B. 0.555...

C.

`√(3)`

D. 1/3​

Answer 1

C. √3

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