To simplify the expression \( 2512 \), it seems to be a typographical error. If you meant to simplify \(\sqrt{2512}\), we can factor it:
- 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 \( 2512 = 2^3 \times 157 \).
- 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!
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