Answer:
5√10
Step-by-step explanation:
I always teach my students this one method, and that is to take the number inside the square root and factor it into a SQUARE NUMBER multiplied by ANOTHER NUMBER.
A square number is a number that is a perfect square, in the sense that it is the product of a certain number multiplied by itself. For instance, 16 is a square number because 16 = 4*4.
So, what is a square number in 250? Well, firstly, let's list the factors of 250.
1, 250
2, 125
5, 50
10, 25
These are all the factors of 250. The ONLY perfect square/square number in this list of factors is 25, which is 5*5. Therefore, 250 = 25*10. 25 is the square number and the other number is 10.
To simplify the square root, we split √250 into √25 * √10. When you have a composite number in a square root, you can split it like this. √25 = 5, and you cannot simplify √10 because it doesn't have any factors that are square numbers. Therefore 5*√10 = 5√10. This is the answer to the problem.
If you have any other questions, just let me know. I hope this helps and have a great day.
