Find the decimal √173 to two decimal places using the guess and check method.
Could someone please explain to me how to do this.
I don't understand one thing about that sentence. I'm studying for my finals and I have no clue what to do here. I go to a online school with the worst math teaching program ever! Please and thank you.
Could someone please explain to me how to do this.
I don't understand one thing about that sentence. I'm studying for my finals and I have no clue what to do here. I go to a online school with the worst math teaching program ever! Please and thank you.
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Well you know it's between 13 and 14 because
13^2 = 169
14^2 = 196
Now you can see that it's closer to 13 (173 is closer to 169 than 196).
13^2=169 and you want to get 4 numbers higher, so 4/13 = .308...etc, but you want the square root of that which would be just under half. You can assume it would be close to .150 just a little over.
Thus...√173 = 13.15
13^2 = 169
14^2 = 196
Now you can see that it's closer to 13 (173 is closer to 169 than 196).
13^2=169 and you want to get 4 numbers higher, so 4/13 = .308...etc, but you want the square root of that which would be just under half. You can assume it would be close to .150 just a little over.
Thus...√173 = 13.15
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http://www.bing.com/search?q=square+root…
Make a guess as to the root, manually multiply it, and proceed from there. For example, I know that 13 x 13 = 169, so the sq rt of 173 is a fraction more than 13.
Trying 13.11 x 13.11 = 171.87
Trying 13.15 x 13.15 = 172.92
Make a guess as to the root, manually multiply it, and proceed from there. For example, I know that 13 x 13 = 169, so the sq rt of 173 is a fraction more than 13.
Trying 13.11 x 13.11 = 171.87
Trying 13.15 x 13.15 = 172.92
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13x13 = 169
14x14 = 196
Next, try 13.5
etc.
14x14 = 196
Next, try 13.5
etc.