Hello,  this post will be about finding the square root of imperfect squares.

To find the square root of imperfect squares, you must find the surrounding perfect squares. In our case we are trying to find the square root of 104, so the surrounding perfect squares would be 100 and 121.So we know that the square root of 100 is 10 and the square root of 121 is 11. The next step would be to find whether 104 is closer to 100 or 121. 104 is closer to 100 so that means your decimal will be closer to 10 than 11.

Then comes the multiplying. Estimate what you think the answer is. I am estimating that it is 10.2 .

10.2*10.2 = 104.4   10.2 has an extra .4 so that means it must be 10.1 something, but 10.2 is closer to 104. Since 10.2 is closer the decimal would be really close to 10.2. We can try 10.19*10.19 and get 103.836…. and it goes on forever.

We don’t want a decimal that goes past the thousandths place so we find what is closest to 104.

10.198*10.198 equals 103.999… that being so close to 104 we round to 10.198 as our answer.