Answer:
√105 is belongs to irrational number.
-4 is belongs to integers as well as rational number.
4/3 is belongs to rational number.
Step-by-step explanation:
Consider the provided numbers.
Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …
Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.The decimal expansion of rational numbers may terminate or become periodic.
Irrational number: A number is irrational if it cannot be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.
Consider the number √105 = 10.2469...
Since, the decimal expansion is neither terminate nor periodic so √105 is an irrational number.
Consider the number -4.
The number -4 is an integers also it can be written in the form of p/q.
Thus, the number -4 is natural number and rational number.
Consider the number 4/3 = 1.333..
Here the decimal expansion is periodic thus the number 4/3 is rational number.