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

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

0.37; a rational number
0.37; a rational number

2.4027 . . . ; an irrational number

Answer 1

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

\[ \sqrt{16} = 4 \]

So,

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

Now, we can find the product:

\[ 1 \times 16 = 16 \]

Now, we classify the number \(16\). Since \(16\) can be expressed as the fraction \(\frac{16}{1}\), it is a rational number.

Thus the final answer is:

16; a rational number.