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Question
Division of 2 irrational numbers can be rational .(true or false)
Division of 2 irrational numbers can be rational .(true or false)
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Solution
true
A rational number is any number that can be written as the fraction a/b, where a and b are integers, and b ≠ 0. Notice that the fraction a/b can also be thought of as the quotient of two integers a and b. Therefore, it would seem that any quotient of integers is the exact definition of a rational number, and for the most part it is.
The quotient of two integers is almost always a rational number. The only exception is when we have the quotient of two integers, a and b, and b = 0. This is because we can never divide by zero, and the expression a/0 is undefined. Therefore, we have that the quotient of two integers, a and b, is always a rational number as long as b ≠ 0. Otherwise, if b = 0, then the quotient a/b is undefined.
A rational number is any number that can be written as the fraction a/b, where a and b are integers, and b ≠ 0. Notice that the fraction a/b can also be thought of as the quotient of two integers a and b. Therefore, it would seem that any quotient of integers is the exact definition of a rational number, and for the most part it is.
The quotient of two integers is almost always a rational number. The only exception is when we have the quotient of two integers, a and b, and b = 0. This is because we can never divide by zero, and the expression a/0 is undefined. Therefore, we have that the quotient of two integers, a and b, is always a rational number as long as b ≠ 0. Otherwise, if b = 0, then the quotient a/b is undefined.
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