Answer:
Explanation:
Discussion
Let's consider an rational number for a moment. If I tell you that the fraction you used was 1/3 and gave you the first couple of numbers as in
1/3 = 0.33333.....
and asked you what the next number is, you should be able to tell me that the number to write down is 3.
Even something like 1/7 is well behaved.
1/7 = 0,142857142857142857 .... and tell you I want the next number, you should be able to see it as 1.
But an irrational number can't be handled that way. If I ask for the next digit after 5 when taking the square root of 2, you would have no idea what I was talking about without the help of a calculator.
Now if you multiply a rational by an irrational, you just get a bigger irrational, but it remains irrational.
The statement is false.