What is the simplest form of 2512

Question

?(1 point)
Responses

25−−√12
root index Start Fraction 1 over 2 End Fraction Start Root 25 End Root

5
5

25−−√
Start Root 25 End Root

12.5

Answer 1

To simplify \( \sqrt{2512} \), we can factor it:

1. First, notice that \( 2512 \) can be factored:

   • \( 2512 = 16 \times 157 \) (since \( 16 = 4 \times 4 = 2^4 \))

2. Now, we can take the square root:

   • \( \sqrt{2512} = \sqrt{16 \times 157} = \sqrt{16} \times \sqrt{157} = 4\sqrt{157} \)

Thus, the simplest form of \( \sqrt{2512} \) is \( 4\sqrt{157} \). If that answer is not one of your options, there may have been a misunderstanding or a different interpretation of the problem.

Please review the options provided again or specify if you meant a different operation or expression.