Answer :

Yes, the claim is correct because √16 + π = 4 + π and  4 + π  is an irrational number

What is the sum of rational and Irrational Numbers?

Rational numbers are numbers that can be expressed as the ratio of two integers while Irrational numbers cannot be expressed as the ratio of two numbers.

The sum of a rational and an irrational number is always an irrational number.

Example:

Consider a rational number: 4 and an irrational number: 2.7582...

When we add these two numbers, we get,

4 + 2.7582... = 6.7582....

Thus, it is clear that this sum is also an irrational number as the numbers after decimal are non-terminating and non-recurring.

Thus, the correct option is that the claim is correct because √16 + π = 4 + π which is an irrational number

Read more about rational numbers at; https://brainly.com/question/12088221

#SPJ1