Question

Given the two expressions shown below:

Answer 1

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.
$\sqrt{64} + \sqrt{5} = 64 + 2.23606...$
This cannot be written as a fraction and therefore the expression is irrational.

Expression B.
$\sqrt{64} + \sqrt{4} = 8 + 2 = 10 = \frac{10}{1}$
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