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One way to find the square root of a number is an iterative method. This entails making a guess at the answer and then improving on it. Repeating the procedure should lead to a better estimate at each stage. One such is the Newton-Raphson method.

To start with, if you want to find the square root of 65, define f(x) = x2 - 65.

Then finding the square root of 65 is equivalent to solving f(x) = 0.

Let f'(x) = 2x. This is the derivative of f(x) but you do not need to know that to use the N-R method.

Start with x0 as the first guess.

Then let xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, â€¦

After a few iterations, xn will be very close to the required square root.

Now 82 = 64 so 8 = sqrt(64). Therefore 8 is a pretty good place to start for sqrt(65). That then gives x2 = 8.62258 which is less than 4 billionths away from the true value. Remember also that -8.62258 is a square root.

Q: How do you find sq root of 65?

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72.6636084983398

you buy a calculator and put the square root sign and the number you want to square root.

sq. rt. of 28 = 5.291502622

11.18033989 is the sq. root of 125.

65 acres = 2831400 sq ft

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sq. root of 75 = sq. root of (25 x 3) = (sq. root of 25)(sq. root of 3) = 5(sq. root of 3)

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you buy a calculator and put the square root sign and the number you want to square root.

The square root of 0.0625 is 0.25 or 1/4

sq. rt. of 28 = 5.291502622

11.18033989 is the sq. root of 125.

65 acres = 2831400 sq ft

sq root (112.7) = 10.6160256.... sq root (112.7) = 10.6160256....