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Two real numbers are defines as:

a=0.444444444444...
b=0.354355435554...

Determine whether each number is rational or irrational. Is the product of a and b rational or irrational? Justify your answers. Enter your answers and your justifications in the box provided.

A and B are irrational numbers. The product of a and b gives an irrational number.                                                                          

Step-by-step explanation:

Given:

a=0.444444444444...

b=0.354355435554...

To find:

rational or irrational

Solution:

A rational number is one that is in the form of a fraction. It will divide a/b and produces a remainder. Whereas an irrational number will be in the form of decimal format. The decimal goes unlimited. Here a=0.444444444444... is an irrational number because it is in decimal form. B is also an irrational number. The product of a and b produces an irrational number. So the answer is an irrational number.

                                                 

The equation is y=17(7)+600 and it equals 717