Question

Select all rational numbers from the list:

A.square root of 2
B.8.212211222111...
C.8.333333333...
D.square root of 80
E.square root of 25
NEED HELP ASAP!!

Answer 1

A rational number is a number that can be written as a fraction (ratio)
An irrational number is a number that can only be written as decimal with endless repeating digit


`√(2)` is irrational because we can only write this as a decimal we have 1.414213562

8.212211222111... is irrational because it's a decimal value with endless repeating digit

8.333333333... is rational because as a fraction it can be written as 83/9 (it's a ratio of 83 to 9)


`√(80)` as a decimal is 8.94427191 which cannot be written as fraction, hence irrational


`√(25)` is an integer 5 which can be written as 5/1 hence a rational number

Answers: Option C and E