105k views
4 votes
Which number is irrational and why?


\sqrt{ (4 )/(9) }

√(20)

√(121)



1 Answer

7 votes
The answer is the second choice: √20

Step-by-step explanation:

It is irrational. It simplifies to 2√5, but this is also irrational. To be rational, the decimal would have to be able to be written as a fraction. This radical, both 20 and 5, is a non-terminating and non-repeating decimal, so it cannot be written as a fraction.

User Fostandy
by
5.3k points