Question

Which number produces an irrational number when added to 0.4?

Answer 1

Any irrational number added to 0.4 will result in an irrational number since the sum of a rational and an irrational number is always irrational.

Step-by-step explanation:

The question asks which number, when added to 0.4, produces an irrational number. To answer this, consider that irrational numbers cannot be expressed as a simple fraction or decimal that terminates or repeats. Since 0.4 is a rational number (equivalent to the fraction 2/5), adding it to an irrational number will result in an irrational number. For example, if we add 0.4 to the square root of 2, an irrational number, the sum will also be irrational. Hence, any irrational number added to 0.4 will yield an irrational number.

Answer 2

any number that is irrational, such as
0.4 + pi because pi is an irrational number.