Respuesta :
Answer:
Its a long chain of taking out square roots that are a factor of the radical.
Step-by-step explanation:
This is much easier for me to show than explain, so let's say you need to find the square root of 300, which is not a perfect square. We will start pulling factors out of (or dividing) 300. If you know your perfect squares enough you can guess and divide those out, but we will start with 10.
300/10 = 30. 10 can also go into 30, so we can divide it again. 30/10 = 3.
3 is a prime number so we cannot divide anymore. Now we will look for pairs of factors, or two factors that are the same. Our factors were 10, 10 and 3. Since there are two 10s, we will bring them out, and put 10 on the left side of the radical (essentially you multiply the pairs, in this case 10 by 10 is 100, and then in order to bring it out of the radical you have to take the square root, in this case it's 10). 3 is not a square root, so it will stay inside of the radical. Your final answer will be 10√(3). If you were to solve the square root of 3 and multiply it by 10, you would get the square root of 300. Hope this helps!
