91Ó°ÊÓ

A number that can be stated as an infinite decimal expansion.

Real numbers are numbers that include both rational and irrational numbers.

All numbers that is whole numbers, integers, natural number, rational and irrational numbers are real numbers.

Here, the number is $\sqrt{7}$. The value of $\sqrt{7}$ lies between 2 and 3.

As natural numbers are $\left\{1,2,3,...\right\}$. Then $\sqrt{7}$ is not a natural number.

As whole numbers are $\left\{0,1,2,3,...\right\}$. Then $\sqrt{7}$ is not a whole number.

And integers are $\left\{...,-3,-2,-1,0,1,2,3,...\right\}$. Then $\sqrt{7}$ is not an integer.

Since $\sqrt{7}$ cannot be expressed as $\frac{m}{n}$ form then it is not a rational number.

Then, it is an irrational number.

As it is an irrational number then it is a real number.

Therefore, the set of numbers to which $\sqrt{7}$ belongs is:

Irrational (I) and Real (R).