Question

What is the simplest form of 2512
?(1 point)
Responses

25−−√

Start Root 25 End Root
25−−√12
root index Start Fraction 1 over 2 End Fraction Start Root 25 End Root
12.5
12.5
5

Answer 1

To simplify the expression \( 2512 \), it seems to be a typographical error. If you meant to simplify \(\sqrt{2512}\), we can factor it:

1. First, we find the prime factorization of \( 2512 \):
- \( 2512 = 2 \times 1256 \)
- \( 1256 = 2 \times 628 \)
- \( 628 = 2 \times 314 \)
- \( 314 = 2 \times 157 \)
- \( 157 \) is a prime number.

So, the prime factorization is \( 2512 = 2^3 \times 157 \).

2. Now, we rewrite \(\sqrt{2512}\):
\[
\sqrt{2512} = \sqrt{2^3 \times 157} = \sqrt{2^2 \times 2 \times 157} = \sqrt{2^2} \times \sqrt{2 \times 157} = 2 \sqrt{2 \times 157} = 2 \sqrt{314}
\]

Thus, the simplest form of \(\sqrt{2512}\) is \( 2\sqrt{314} \).

If you meant something else by "2512", please clarify!