Find the square root of 250.(1 point)
Responses
2510−−√
25 start root 10 end root
510−−√
5 start root 10 end root
105–√
10 start root 5 end root
250
15 start root 10 end root
To find the square root of 250, you can use a calculator or use the long division method.
Using a calculator, the square root of 250 is approximately 15.8113883008.
If you want to calculate it manually using the long division method, follow these steps:
1. Start by guessing a number that, when squared, is close to 250. Let's start with 10.
2. Divide 250 by 10, which gives you 25.
3. Take the average of 10 and 25, which is 17.5.
4. Divide 250 by 17.5, which gives you approximately 14.2857.
5. Take the average of 17.5 and 14.2857, which is approximately 15.8929.
6. Repeat steps 4 and 5 until you reach the desired level of accuracy.
After completing multiple iterations, you will find that the square root of 250 is approximately 15.8114.
To find the square root of 250, one approach is to use a calculator or a mathematical software program. However, if you would like to manually find the square root, here is how you can do it:
1. Start by understanding that the square root of a number is a value that, when multiplied by itself, gives the original number.
2. Begin by breaking down the number 250 into its prime factors. The prime factors of 250 are 2, 5, and 5. So, we can write 250 as 2 * 5 * 5.
3. Divide the prime factors into pairs. Since we have two 5s, we can group them together. So, 250 can be written as (2 * 5) * 5.
4. Take one number from each pair and multiply them together. In this case, we take one 5 from the pair and the 2. 5 * 2 equals 10.
5. This value, 10, is the square root of 250. So, the square root of 250 is 10.
Therefore, the correct response is: 10