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[Short Trick] Find Root of Non Perfect Square numbers like under root 17 root 36 in 3 seconds

Short trick to find root

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:-

Step 1: 

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

           = 3.16

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

         = 3.16

 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.

 In Noteboook

 

 

Find Root of Non Perfect Square numbers

Find Root of Non Perfect Square numbers

 

 

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