#### Answer

a. integer
b. rational
c. integer
d. irrational

#### Work Step by Step

a. $10$ is a whole number so it's an integer.
b. $\frac{16}{3}$ is able to be written as a simple fraction so it is a rational number.
c. $5^{2} = 25$, and $25$ is a whole number so it's an integer.
d. $\sqrt 5$ cannot be written as a simple fraction so it is an irrational number.