Hi there!
The answer is A is irrational, but B is rational.
An irrational number is a number that cannot be written as a fraction.
Expression A.
[tex] \sqrt{64} + \sqrt{5} = 64 + 2.23606...[/tex]
This cannot be written as a fraction and therefore the expression is irrational.
Expression B.
[tex] \sqrt{64} + \sqrt{4} = 8 + 2 = 10 = \frac{10}{1} [/tex]
This can be written as a fraction and therefore the expression is rational
Your answer:
A is irrational, but B is rational.
~ Hope this helps you!
MarkV