Find the product of 5–√

and 16
. What type of number is it?(1 point )
Responses

0.37; a rational number
0.37; a rational number

0.3726 . . . ; an irrational number
0.3726 . . . ; an irrational number

2.40; a rational number
2.40; a rational number

2.4027 . . . ; an irrational number

1 answer

To find the product of \( 5 - \sqrt{16} \) and \( 16 \), we first calculate \( \sqrt{16} \).

\[ \sqrt{16} = 4 \]

Now, substituting this back into the expression, we have:

\[ 5 - \sqrt{16} = 5 - 4 = 1 \]

Next, we find the product of \( 1 \) and \( 16 \):

\[ 1 \times 16 = 16 \]

Now we determine the type of number this result is:

\( 16 \) is a rational number because it can be expressed as the ratio of two integers (for example, \( \frac{16}{1} \)).

So the answer is:

16; a rational number. However, this choice is not listed in your responses. If we apply similar reasoning, the correct option would refer to the predefined responses, which seem to focus on a calculation leading to a decimal approximation.

To clarify slightly, it appears there might be a confusion in the responses and the actual calculation leads to \( 16 \), indicating a rational number. However, if observing the options strictly, none directly reflect \( 16 \).

If any issues arise, please explore our calculations with a clear focus on \( 5 - \sqrt{16} \) leading to \( 16 \), concluding that it’s a rational number.