√182329 what is the root number of this question?
The square root of 182329 is approximately 427.3142.
To find the square root of 182,329, we can follow these steps:
1. Start by finding the prime factors of the number.
182,329 can be written as 17 * 10701.
2. Now, group the prime factors into pairs:
182,329 = 17 * (10701)
3. Rewrite the number as the product of the square root of each pair:
182,329 = √(17 * 10701)
4. Simplify each square root:
√(17 * 10701) = √17 * √10701
5. Calculate the square root of each number:
√17 ≈ 4.123
√10701 ≈ 103.442
6. Multiply the square roots together:
4.123 * 103.442 ≈ 426.226
Therefore, the square root of 182,329 is approximately 426.226.