Question

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

5
5

25−−√
Start Root 25 End Root

12.5
12.5

25−−√12

Answer 1

To simplify the number 2512, we can look for its prime factorization.

First, we can factor 2512. We notice that it is an even number, so we will divide it by 2:

2512 ÷ 2 = 1256
1256 ÷ 2 = 628
628 ÷ 2 = 314
314 ÷ 2 = 157

Now we check whether 157 is a prime number. It cannot be divided by 2, 3, 5, 7, 11, or 13, which confirms that 157 is prime.

So the prime factorization of 2512 is \( 2^4 \times 157 \).

Now, let's evaluate the responses provided:

1. **5** - This is not a form of 2512.
2. **\(\sqrt{25}\)** (which is 5) - This is also not a form of 2512.
3. **12.5** - This is not the correct representation of 2512.
4. **\(\sqrt{25 \times 12}\)** - This is not simplified to match 2512.

Since none of the provided options correctly represents 2512 in simplest form (and the question seems a bit ambiguous), the simplest interpretation of 2512 in terms of correctness might need clarification. However, if seeking an approximate relationship to any of the options, please clarify what you're specifically asking for regarding "simplest form."