the answer is b. this is because an irrational number goes on infinity in random digits. so if something is square rooted and not a perfect square it's going to be irrational. square root of 144 is 12 and 11/22 is 1/2 while 1 3/5 is 1.6 and the square root of .65 is .8062257 and so on.
The answer is: B)[tex]\sqrt{0.65}[/tex]
An irrational number is a number which cannot be expressed like a fraction of entire numbers because there is not possible that any fraction can exactly express that number.
Let's discard each option in order to find the irrational number:
A)
[tex]1 + \frac{3}{5}=1.6=\frac{8}{5}[/tex]
So, A, is a rational number.
B)
[tex]\sqrt{0.65}=0.806225774829855...[/tex]
There is not a fraction of entire numbers that can be written to express that number since it have infinite decimals.
C)
[tex]\sqrt{144}=12[/tex]
It's an exact number, so it's a rational number.
D)
[tex]\frac{11}{22}=0.5=\frac{1}{2}[/tex]
It's a rational number since it can be written as a fraction of entire numbers.
Have a nice day!
