 # Bakshali Method sqrt(50)

## Enter Number for Bakshali Method

Given S = 50, calculate √50 using the Bakshali Method

## Find the highest perfect square < 50

For n = 1, we have 12 = 1
For n = 2, we have 22 = 4
For n = 3, we have 32 = 9
For n = 4, we have 42 = 16
For n = 5, we have 52 = 25
For n = 6, we have 62 = 36
For n = 7, we have 72 = 49
For n = 8, we have 82 = 64
Therefore, N = 8

d = S - N2
d = 50 - 82
d = 50 - 64
d = -14

## Calculate P:

 P  = d 2N

 P  = -14 2(8)

 P  = -14 16

P = -0.875

A = N + P
A = 8 + -0.875
A = 7.125

## Plug in our numbers:

S ~ A - P2/2A
75 ~ 7.125 - -0.8752/2(7.125)
75 ~ 7.125 - 0.765625/14.25
75 ~ 7.125 - 0.053728070175439
75 ~ 7.0712719298246

75 ~ 7.0712719298246

### How does the Bakshali Method Calculator work?

Calculates the square root of a positive integer using the Bakshali Method
This calculator has 1 input.

### What 5 formulas are used for the Bakshali Method Calculator?

1. Find the highest perfect square number (N) less than S
2. d = S - N2
3. P = d/2N
4. A = N + P
5. √S ~ A - P2/2A

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### What 4 concepts are covered in the Bakshali Method Calculator?

approximation
anything that is intentionally similar but not exactly equal to something else.
bakshali method
A square root method using perfect squares
exponent
The power to raise a number
square root
a factor of a number that, when multiplied by itself, gives the original number
√x