Find the product of 5–√ and 16 . What type of number is it?(1 point)

Question

Responses

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

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

2.40; a rational number
2.40; a rational number

0.37; a rational number
0.37; a rational number

Answer 1

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

\[ \sqrt{16} = 4 \]

Now we can substitute this back into the expression:

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

Next, we multiply this result by \( 16 \):

\[ 1 \times 16 = 16 \]

Since \( 16 \) is a whole number, it is a rational number.

Therefore, the correct answer is:

16; a rational number.

(Note: The options provided in the question seem to be inconsistent with the calculation, as none match the product of \( 5 - \sqrt{16} \) and \( 16 \) which we calculated to be \( 16 \).)