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
√50 ~ 7.125 - -0.8752/2(7.125)
√50 ~ 7.125 - 0.765625/14.25
√50 ~ 7.125 - 0.053728070175439
√50 ~ 7.0712719298246
What is the Answer?
√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.
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 - N2
P = d/2N
A = N + P
√S ~ A - P2/2A
d = S - N2
P = d/2N
A = N + P
√S ~ A - P2/2A
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
