Which describes a number that cannot be irrational?

a number that can be written as the ratio of two integers

a number that represents the length of the diagonal of a square

a number that can be used to solve an algebraic equation

a number that represents the ratio of the circumference to the diameter of a circle

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Answer:

A number that cannot be irrational is:

A number that cannot be written as the ratio of two integers

Step-by-step explanation:

Irrational numbers can be defined as those numbers which cannot be written as in a form of Fraction (Ration of two integers).

E.g if we consider the value of constant pi

π = 3.14159265...................

and it goes on, that why we cannot write it in a form of simple fraction.

Another example of irrational number is under root of 2

√2 = 1.41421356..................

Hence, it also cannot be written as a simple fraction.

However, a number which can be written as a ratio of two integers is a rational number. e.g

2/5 , 1/4 etc

As a rational number can never be an irration number, so statement 1 is correct

A rational number is a number that can be express as the ratio of two integers.

First option is correct.

  • Any number that can be express in  [tex]\frac{p}{q}[/tex]  form is known as rational number.

           Where [tex]q[/tex] not be equal to zero.

  • An Irrational Number is a real number that cannot be written as a simple fraction.

Hence, A number that can be written as the ratio of two integers can not be irrational.

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