To express 923 in its simplest radical form, we need to factor the number 923 into its prime factors and simplify the radical.
First, we can break down 923. We find that:
- 923 is divisible by 7 (since 923 / 7 = 131).
This means:
923 = 7 × 131
Next, we check if either of these factors is a perfect square. Since both 7 and 131 are prime numbers and not perfect squares, we can’t simplify them further.
Thus, the simplest radical form of √923 is:
√923 = √(7 × 131) = √923 (remains as is)
In simplest radical form, the value under the radical remains 923, as there are no perfect square factors we could extract from the expression.
So, the final answer is:
- Value under the radical: 923