The radical form of the expression \( 2514 \) can be expressed as \( \sqrt{2514^2} \).
However, if you're looking for the simplest radical form of \( 2514 \), it can also potentially be factored or simplified based on its prime factors.
Let's break down \( 2514 \):
- Find the prime factors: \[ 2514 \div 2 = 1257 \quad \text{(since 2514 is even)} \] \[ 1257 \div 3 = 419 \quad \text{(the sum of digits 1+2+5+7=15, which is divisible by 3)} \] \( 419 \) is a prime number.
So, the prime factorization of \( 2514 \) is: \[ 2514 = 2 \times 3 \times 419 \]
- Since \( 2514 \) does not have any perfect square factors, it doesn't simplify into a smaller radical form beyond \( \sqrt{2514^2} \).
Thus, the most straightforward radical form can be represented as:
\[ 2514 = \sqrt{2514^2} \]
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