Question

4. Squareroot of 3025 - x =10
find x
CE​

Answer 1

Answer:

Step-by-step explanaStep 1: Find Base i.e, n x10x.

Step 2: Case 1: Square the (Number - Base) if Number > Base. 

            Case 2: Square the (Base - Number) if Base > Number.

Make sure the number of digits in this part = number of zeroes in the base, add zeroes if it is of fewer digits or carry forward extra digits in case of more than the required digits.  

Step 3: Case 1: Add (Number - Base) to Number if Number > Base and then multiply by n.

            Case 2: Subtract (Base - Number) from Number if Base > Number and then multiply by n . 

Step 4: Merge results of Step 2 and 3. Keep Step 2 result on the right side. 

Suppose you have to find the square of 104.

Step 1: Now, here the base is 100 or 102.  

Step 2: Here Number > Base or 104 > 100 so, (104 - 100)2 = 16  

Step 3: 1 x (104 + 4) = 108

Step 4: 10816

In this way, you have to calculate the square using the base method. Let us take more examples to have a clear understanding. 

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