Two Digit Number Far From The Base


Square With Yavadunam Method-III - Concepts
Class - 8th Foundation NTSE Subjects
 
 
Concept Explanation
 

Square of Two Digit Number Far From The Base Using Yavadunam Method

Square Of a Two Digit Number Far From The Base Using Yavadunam Method: This method is used to find the square of a number which is very far from nearest base. To make the calculation easy we take a base nearer to the given number. As we know that in various competitive exam calculations take a lot of time. To avoid this we can use various Vedic Maths Techniques can be used.

Find Square of 26

Step 1: Find the surplus or the deficit in the number as compared to the base. For 26 the nearest base is 30 which is three times 10. So the deficit is 4 or the surplus is -4

Add the surplus to the number and multiply it with 3

Result 1 = 3 X (26 + (-4)) =3 X 22 = 66

Step 2: Now find the square of the surplus that is -4. Square of -4 is 16

Result 2 = 16

As the base has one zero so one digit will be prefixed in the answer

Step 3: As the Result 2 has two digits so one digit will be prefixed in the answer and the remaining will be carry.

Answer: 6

Carry is 1

Step 4: The Carry is added to Result 1.  The Resultant Number is Leftmost Block of the Answer

Resultant Number = 66 + 1 = 67

Answer: 676
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