Find the product of 5–√

Question

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

2.40; a rational number
2.40; a rational number

2.4027 . . . ; an irrational number
2.4027 . . . ; an irrational number

0.37; a rational number
0.37; a rational number

0.3726 . . . ; an irrational number

Answer 1

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

\[ \sqrt{16} = 4 \]

Now substituting this back into the expression, we have:

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

Next, we calculate the product:

\[ 1 \times 16 = 16 \]

Now, we need to distinguish the type of number. The result \( 16 \) is a whole number, which is also a rational number (since it can be expressed as the fraction \( \frac{16}{1} \)).

Therefore, the answer is:

16; a rational number.