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Question 773227: whar is the square toot of 700
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Factor 700.
 OR 
For a real number N, 
Or if you want to be more thorough,  or  but not necessary for your purpose.
That should be enough for you to find square root of 700.
A LITTLE BIT MORE--------------------
Based on that, you probably see that square root of 700 is  , so you might still want to get at sqrt(7). Either you would look in a table of squares and roots or use a calculator. You could also do some planned manual computations to find an approximation to sqrt(7).
Look here:
This one_________is this value
 _____________2
 _____________?
 _____________3
You can use your knowledge of common squares & squareroot facts like starting with that little table above. Obviously, sqrt(7) is between 2 and 3, so let's try a decimal number value between 2 and 3.
Try 2.5, which is in the middle.
 , too small.
Lets try something a little bigger, like 2.6.
 , still too small.
Let's try a bigger value, like 2.7.
 , too big.
so we want something between 2.6 and 2.7, so let us try 2.65.
 , still too big , so we can continue this process trying to get closer and closer to  for some N between 2.6 and 2.65, until we have a value as near to 7 when squared as we want. This method is reasonable enough if we want to the nearest hundredths place for N, but beyond, we would want a calculator.
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