#@2 How to find Square Root of a Perfect Square using Vedic Math

Specific Method

Shortcut to calculate the square root of a (perfect square) number using Vedic Mathematics.

Specific Condition Required:

Numbers need to be perfect square.

Examples:

Lets see few examples for how to find out square root by Vedic Mathematics.

Square root of 2209

1. Number ends with 9, Since it’s a perfect square, square root will end with 3 or 7.
2. Need to find 2 perfect squares (In Multiplies of 10) between which 2209 exists.
   Numbers are 1600(40²) and 2500(50²).
3. Find to whom 2209 is closer. 2209 is closer to 2500. Therefore squareroot is nearer to 50
   Now from Step 2, possibilities are 43 or 47 out of which 47 is closer to 50
4. Hence squareroot = 47.

Check Also, more ways of finding Square Root in Vedic Mathematics

Squareroot of 7056

1. Number ends with 6, So square root ends with 4 or 6.
2. Perfect squares (In Multiplies of 10) between which 7056 exists are 6400(80²) and 8100(90²).7056 is closer to 6400. Therefore squareroot is nearer to 80
3. Now from Step 2, possibilities are 84 or 86 out of which 84 is closer to 80
4. Hence squareroot = 84.

Squareroot of 14641

1. Number ends with 1, So square root ends with 1 or 9.
2. Perfect squares (In Multiplies of 10) between which 14641 exists are 14400(120²) and 16900(130²). 14641 is closer to 14400. Therefore squareroot is nearer to 120
3. Now from Step 2, possibilities are 121 or 129 out of which 121 is closer to 120
4. Hence squareroot = 121.

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