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The product of a rational and irrational number is:radio_button_uncheckedRationalradio_button_uncheckedIrrationalradio_button_uncheckedBoth of aboveradio_button_uncheckedNone of above

Question

The product of a rational and irrational number is:radio_button_uncheckedRationalradio_button_uncheckedIrrationalradio_button_uncheckedBoth of aboveradio_button_uncheckedNone of above

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Solution

The product of a rational and irrational number is typically irrational.

Here's why:

  1. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. For example, 1/2, 2, 7, etc.

  2. An irrational number is a number that cannot be expressed as a ratio of two integers. In other words, it cannot be written as a simple fraction. For example, the square root of 2, pi, etc.

  3. When you multiply a rational number (let's say 2) by an irrational number (like the square root of 2), the result is an irrational number (2 times the square root of 2).

So, the correct answer is: radio_button_uncheckedRational radio_button_checkedIrrational radio_button_uncheckedBoth of above radio_button_uncheckedNone of above

This problem has been solved

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