22higlebosa
19.01.2020 •
Mathematics
Simplify the expression 3 1/3/3 1/3. explain how the expression and its simplified form show that the set of irrational numbers is not closed under division
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Ответ:
From the context, I assume it to mean
(3^(1/3)) / (3^(1/3)) = 1
Since 3^(1/3) is the cube-root of 3, and is thus irrational.
However, the quotient is exactly 1, which is a rational number.
The example is therefore a counter-example for the statement that "set of irrational numbers is closed under division", or stated differently,
"the set of irrational numbers is not closed under division"
Ответ:
I voted b, the grade still hasn't come back yet...
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