Let a and b be rational numbers.
The difference of a and b is:
Answer Choices:
(always rational, sometimes rational, never rational).
The product of a and b is:
Answer Choices:
(always rational, sometimes rational, never rational).
√ab is
Answer choices:
(always rational, sometimes rational, never rational).
The difference of a and b is:
(always rational) - The difference of any two rational numbers is always rational.
The product of a and b is:
(always rational) - The product of any two rational numbers is always rational.
√ab is:
(sometimes rational) - The square root of the product of two rational numbers may or may not be rational, depending on the values of a and b. For example, if a = 4 and b = 9, then √ab = √(4*9) = √36 = 6, which is rational. However, if a = 2 and b = 3, then √ab = √(2*3) = √6, which is irrational. Therefore, √ab is sometimes rational.
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