Question

how to find square root in short form​

Answer 1

Step-by-step explanation:

Use the Babylonian's method:

Guess a arbitrary positive value x, close to the root.

Initialize y = n/x.

Do following until x and y become very close.

Get the next approximation for root using average of x and y

Set y = n/x

e.g., n = 75

Let x be a guessed square root.

y = n/x,

or, x*y = n

so if x =~ y, i.e. x is nearly equal to y then x*x = n

or, x is square root of n.

Now, n=75

guess: x = 8, y = n/8 = 75/8 = 9.375

Here (x-y) = 1.375

x = (x+y)/2

x = (17.375)/2 = 8.6875

y = 75/8.6875 = 8.6330

Now x and y are pretty close. The exact square root is somewhere between x and y.

Lets take 8.65, which lies between 8.68 and 8.63.

Hope this helps u.

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