Bakshali Method sqrt(50)

Bakshali Method sqrt(50) Image to Crop

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

You have 1 free calculations remaining

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.

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

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Bakshali Method Calculator?

approximationanything that is intentionally similar but not exactly equal to something else.bakshali methodA square root method using perfect squaresexponentThe power to raise a numbersquare roota factor of a number that, when multiplied by itself, gives the original number
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