Hello! Today I’m going to work you, the audience, through finding the square root of 190 to the nearest tenth.
First of all, 190 is between two perfect squares. In this case, these are 169 and 196.
13*13=169 and 14*14=196.
Because we know that our square root is more than 13, but not yet 14, the whole number in our root needs to be 13.
To begin to narrow down the decimals, let’s find the number halfway between the two squares.
196-169=27 and 27/2=13.5 169+13.5=182.5
190 is greater than 182.5, so that means we can rule out 13.1 through 13.4. Now, let’s find the halfway point again.
196-182.5=13.5 and 13.5/2=6.75 182.5+6.75= 189.25, meaning that the square root of 189.25 is approximately 13.75.
This is still less than 190, but it’s very close, so we can pretty safely assume that the square root of 190 is approximately 13.8.
If we put this in the calculator, the square root of 190 is about 13.784, so we were correct.
Excellent Lars! I really like how you structured your response. Including spaces between the paragraphs just makes it easier to read. By giving your examples a bold font, it helps the reader follow along. Your explanation was exactly what someone would need in order to read your response and have any understanding about how you arrived at your answer. Good work!
Good job but how did you think of this?