Find the square root of 250. (1 point)
10√5
250
5√10
25√10
5√10
To find the square root of 250, we can simplify the expression as much as possible.
We notice that 250 can be factored as 25 * 10.
Taking the square root of each factor, we have √(25 * 10).
The square root of 25 is 5.
Therefore, the square root of 250 is 5√10.
So, the correct answer is 5√10.
To find the square root of 250, we can use a calculator or an estimation method. However, let's use the method of prime factorization to simplify the given number.
First, we can use prime factorization to find the factors of 250: 2 × 5 × 5 × 5.
Then, we can group the factors in pairs and take out one factor from each pair, since each pair represents a perfect square. In this case, we have two pairs of 5's, which we can take out as one factor outside the square root.
So, the simplified expression for √250 is √(5 × 5 × 2) = 5√2.
Therefore, the correct answer is 5√2.