Which expression is an irrational number?

Question 5 options:

square root of 20 end root

open parentheses square root of 10 end root close parentheses squared

square root of 144 end root

0.48 with bar over 4 8

√20=2√5 since √5 is irrational √20 is irrational ...

√10=√ (2*5) since both √2 and √5 are irrational, √10 is irrational ...

√144=12 since 12 is equal to 12/1 this is a rational number ...

.48 repeating ... let x=.48 repeating and let 100x=48.48 repeating so:

100x-x=48.48-.48

99x=48

x=48/99

x=16/33 so 0.48 repeating (any repeating numerical pattern for that matter) is therefore a rational number.

Any number that can be expressed as a ratio of two integers is rational, if a number cannot be expressed as a ratio of two integers it is irrational.