Find the square root of 250.(1 point)
Responses
510−−√
5 start root 10 end root
2510−−√
25 start root 10 end root
250
250
105–√
10 start root 5 end root
10√5
To find the square root of 250, you can simplify it as follows:
Start by realizing that 250 can be factored as the product of 25 and 10: 250 = 25 * 10.
Next, find the square root of each factor: √25 = 5 and √10.
So, the square root of 250 is 5√10.
To find the square root of 250, you can use a calculator or perform the calculation manually. Here are a few different ways you can approach it:
1. Using a calculator: Simply enter 250 into your calculator and press the square root (√) button. The calculator will give you the result.
2. Manual calculation: One method is to write down the prime factorization of 250, which is 2 * 5 * 5 * 5. Then, group the prime factors in pairs and take one factor from each pair out of the square root. In this case, you have one pair of 5's. Taking one 5 out of the square root leaves you with 5√10.
3. Another manual calculation: To simplify the calculation further, you can break down 250 into perfect square factors. Since 25 is a perfect square, you can rewrite 250 as 25 * 10. Taking the square root of 25 gives you 5, so you are left with 5√10.
Therefore, the correct answer is 5√10.