Given S = 50

Calculate √50 using the Bakshali Method

##### Find the highest perfect square < 50

For n = 1, we have 1^{2} = 1

For n = 2, we have 2^{2} = 4

For n = 3, we have 3^{2} = 9

For n = 4, we have 4^{2} = 16

For n = 5, we have 5^{2} = 25

For n = 6, we have 6^{2} = 36

For n = 7, we have 7^{2} = 49

For n = 8, we have 8^{2} = 64

Therefore, N = 8

##### Calculate d:

d = S - N^{2}

d = 50 - 8^{2}

d = 50 - 64

d = -14

##### Calculate P:

P = -0.875

##### Calculate A:

A = N + P

A = 8 + -0.875

A = 7.125

##### Plug in our numbers:

√S ~ A - P^{2}/2A

√50 ~ 7.125 - -0.875^{2}/2(7.125)

√50 ~ 7.125 - 0.765625/14.25

√50 ~ 7.125 - 0.053728070175439

√50 ~ **7.0712719298246**

##### How does the Bakshali Method Calculator work?

Free Bakshali Method Calculator - 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?

Find the highest perfect square number (N) less than S

d = S - N

^{2}P = d/2N

A = N + P

√S ~ A - P

^{2}/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

##### Example calculations for the Bakshali Method Calculator

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