Find the square root of 250.(1 point)
Responses
5√10
5 start root 10 end root
250
10√5
10 start root 5 end root
25√10
5√10
To find the square root of 250, you can use a calculator or use a method called prime factorization.
To find the square root using prime factorization, first, factorize 250 into its prime factors: 2 × 5 × 5 × 5.
Next, group the prime factors into pairs of equal factors, which are the square roots: 2 × (5 × 5) × 5.
Simplifying further, we have 2 × 5² × 5.
Taking the square root of each pair, we have 2 × 5 √5.
Therefore, the square root of 250 is 10√5.
To find the square root of 250, you can use a calculator or manually calculate it. If you prefer to calculate it manually, you can follow these steps:
1. Start by finding the prime factorization of 250: 250 = 2 * 5 * 5 * 5
2. Group the prime factors into pairs: (2 * 5 * 5) * 5 = 10 * 5
3. Take one factor from each pair and write it outside the square root symbol: 5√10
4. Multiply the numbers outside the square root symbol: 5 * √10 = 5√10
Therefore, the square root of 250 is 5√10.