Question

NEED HELP ASAP!
REFER TO PICTURE PLS

Answer 1

Refer to image.

Explanation:

An irrational number is a number that cannot be displayed as a ratio of 2 integers.

A rational number is a number that can be displayed as a ratio of 2 integers.

A already has 2 ratios that are integers, and when you add 2 rational numbers, you get a rational number. Therefore, A is rational.

B is irrational due to
`√(5)` being an irrational number. You cannot express
`√(5)` as a ratio with 2 integers. If you add a rational and an irrational, you will always get an irrational number as a sum.

C is rational due to both numbers that are being added are rationals.
`(1)/(3)=0.\overline{3}` in which 1/3 is rational since it has a ratio of 2 integers. 0.25 is also a rational number since it is 1/4. The sum of 2 rationals yields a rational.

D is irrational due to
`√(2)` being irrational since you cannot write √2 as a ratio of 2 integers. 2 is a rational since it is 4/2. The sum of an irrational and a rational yields an irrational.