The product of a rational number and an irrational number is _[blank]_ an irrational number. which word correctly fills in the blank to create a true statement? always sometimes never the product of two irrational numbers is _[blank]_ an irrational number. which word correctly fills in the blank to create a true statement? sometimes always never

1.a: Always

2.a:sometimes

Step-by-step explanation:

a.We have to fill correctly word in the blank

Suppose we have a=2 and b=

Then , product of a and b=

Product of rational number and irrational number is always an irrational number .

Therefore, option a is true

a: Always

b.We are given that product of two irrational numbers

Suppose, a=

b=4\sqrt3[/tex]

Product of a and b=

12 is a rational number .

If a=

Product of a and b=

Hence, product of  two irrational numbers is sometimes irrational number not always.

Option a is true

A:sometimes

y= -