Answer
a. Natural: $\sqrt{64}$
b. Whole: $0,\sqrt{64}$
c. Integer: $-11,0,\sqrt{64}$
d. Rational: $-11,-\displaystyle \frac{5}{6},0,0.75,\sqrt{64}$
e. Irrational: $\sqrt{5},\pi$
f. Real: all of them
Work Step by Step
The set of natural numbers is { 1, 2, 3, 4, 5, ... } .
The set of whole numbers is { 0, 1, 2, 3, 4, 5, ... }
The set of integers is {... , -4, -3, -2, -1,0, 1, 2, 3, 4,...}
The set of rational numbers$: \displaystyle \frac{a}{b},\ b\neq 0$, and b integers
Irrational numbers: are not rational (can not be written as $\displaystyle \frac{a}{b},\ b\neq 0$)
Real numbers: all rational and irrational numbers.
---
$-11$ is a negative integer, all integers are rational
$-\displaystyle \frac{5}{6}$ is a rational number
$0$ is a whole number, an integer, rational
$0.75=\displaystyle \frac{75}{100}$, a rational number
$\sqrt{5 }$ is irrational
$\pi$ is irrational
$\sqrt{64}=$8, natural, whole, integer, rational.
a. Natural: $\sqrt{64}$
b. Whole: $0,\sqrt{64}$
c. Integer: $-11,0,\sqrt{64}$
d. Rational: $-11,-\displaystyle \frac{5}{6},0,0.75,\sqrt{64}$
e. Irrational: $\sqrt{5},\pi$
f. Real: all of them
