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Bakshali Method sqrt(50)

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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

Calculate d:

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

Calculate A:

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




What is the Answer?

√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

For more math formulas, check out our Formula Dossier

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

Example calculations for the Bakshali Method Calculator

  1. Bakshali method sqrt(50)

Bakshali Method Calculator Video


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