Respuesta :
Answer:
A. 3.31227766..., irrational
Step-by-step explanation:
We have been given two numbers. We are asked to find sum of given numbers and classify the type of number after addition.
[tex]\frac{3}{20}+\sqrt{10}[/tex]
[tex]0.15+3.1622776601683793[/tex]
[tex]3.3122776601683793[/tex]
We can see that [tex]\frac{3}{20}[/tex] is a rational number, while [tex]\sqrt{10}[/tex] is an irrational number as its digits are repeating infinitely after decimal.
We know that sum of a rational and irrational number is irrational, therefore the sum of given numbers is irrational and option A is the correct choice.