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

√

75 ~ 7.125 - -0.875

^{2} /2(7.125)

√

75 ~ 7.125 - 0.765625/14.25

√

75 ~ 7.125 - 0.053728070175439

√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?
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 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 Bakshali Method Calculator Video VIDEO

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