The number √3 is an irrational number, then the number will be irrational. Then the correct option is C.
What is an irrational number?
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Let's check all the options.
A. The expression is [tex]7.5\bar{1} \ \cdot \ (-4)[/tex].
Both the numbers are rational number, then the product of them will be rational number.
B. The expression is √16 + 3/4.
Then the expression can be written as
4 + 3/4 = 4.75
The number 4.75 is a rational number.
C. The expression is √3 + 8.486.
The number √3 is an irrational number, then the addition of rational and irrational number will be an irrational number.
D. The expression is 8 2/3 x 17.75.
The number is written as,
[tex]8 \dfrac{2}{3} \times 17 .75 = \dfrac{26}{3} \times \dfrac{71}{4}\\8 \dfrac{2}{3} \times 17 .75 = 153.8\bar3[/tex]
The number is a rational number.
Then the correct option is C.
More about the irrational number link is given below.
https://brainly.com/question/17450097
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