Question
Find the product of 5–√ and 16 . What type of number is it?(1 point)
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
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
Answers
GPT-4o mini
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 \( 16 \).)
\[
\sqrt{16} = 4
\]
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 \( 16 \).)