Question

The number 2.2360667… is a __ because it cannot be written as a fraction(ratio)

Answer 1

in our number " 2.2360667…" the 3 dots mean that the digits keep going forever,  so we conclude that our number belongs to the set of irrational numbers.

Which type of number is 2.2360667…?

We will define two types of numbers:

Rational numbers: Are these that can be written as the quotient of two integers.

Irrational numbers: Can't be written as the quotient of two integer numbers, A rational number always has an infinite number of digits after the decimal point, and there is no pattern in these digits.

Now, in our number " 2.2360667…" the 3 dots mean that the digits keep going forever, that is enough to conclude that our number belongs to the set of irrational numbers.

If you want to learn more about rational numbers:

brainly.com/question/12088221

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