Respuesta :
Answer:
[tex]\sqrt{113}[/tex] is an irrational number.
Step-by-step explanation:
We are asked to find whether square root of 113 is rational or irrational.
We know that a number is rational number when it can be written as a fraction.
Upon finding the value of [tex]\sqrt{113}[/tex], we will get:
[tex]\sqrt{113}=10.6301458127346[/tex]
We can see that [tex]\sqrt{113}[/tex] has neither non-terminating nor a repeating decimal, therefore, it cannot be written as a fraction and it is an irrational number.
