Short trick to Get √17 in just 3 second
Follow these Steps :-
We know the Non Perfect Square root number like √16 , √25, √100, √144 etc.
Now, we have to Find the square root √7
So, we have follow this method:-
To Find the square root we divied. the number into nearby perfect square number and non -perfect square number like √9-2
Step 2 :
Now put the value in this formula
√x+y = √x + y/2√x
√9-2 = 3 + 1/2 x 3
So solve this and get the answer of under root 17 .
Therefore , √7 = 2.67
so Final answer is 2.67
This method is very easy to find non perfect square root
More example –
√10 = √9+1
√9+1 = 3 + /2×3
This trick is basically from chapter application of derivative of class 12thmathematics. it is a small part of the topic approximation. That formula come after we differentiate the root x by basic differentiation. by this method we can find approximate many other functions like cube root , x raise to the power 1/4 and so on.. for more about this method you can read in class 12th book chapter AOD.
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