Which number produces

irrational number when added to 3/4?

A. 3.14 (pie)

B. 0.333 ...

C. 3/5

D. - 0.75

A (pi)

Step-by-step explanation:

Pi is already an irrational number, therefore, anything added to it must become irrational

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to - 3/4 (75/100 = > 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654 ... + (3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.