Respuesta :
Answer: Irrational
We cannot write [tex]\sqrt{103}[/tex] as a ratio of integers, so that's why it's irrational.
Note that [tex]\sqrt{103} \approx 10.1488915650922[/tex]
The decimal digits go on forever without any pattern. If the digits repeated themselves, then we would have a rational number.
A quick way to tell if it is rational or not, without using a calculator, is to note that 103 is not a perfect square. The list of perfect squares are:
1,4,9,16,25,36,49,64,81,100,121,...
we see that 100 is the closest perfect square, but 103 is not in that list. Each perfect square is of the form x^2, where x is some positive whole number.
Answer:
Yes this is irrational like the guy above me said you cannot write it as a ratio, of integer since rational numbers are:
A rational number is any integer,
fraction,
terminating decimal,
or repeating decimal.
So its Not Rational
