If you have a non-scientific calculator you can use the Newton-Raphson method.
Suppose you wish to find the square root of 7.
Let f(x) = x2 - 43 so that f(x) = 0 when x is the square roo. That is, you want to find x such that f(x) = 0.
Let f'(x) = 2x
[f'(x) is the derivative of f(x) but you do not need to know that to use the N-R method.]
Make a guess at the square root of 7, and call is x0.
Then calculate
xn+1 = xn - f(xn)/f'(xn) for n = 1, 2, 3, ...
Provided you made a reasonable choice for the starting point, the iteration will very quickly converge to the true answer. Even if your first guess is not so good:
Suppose you start with x0 = 6 (a pretty poor choice since 62 is 36, which is not very near 43).
Even so, x3 = 6.55744, which is less than 3 billionths of a percent from the true value. Finally, remember that the negative value is also a square root.
The square root of 36 and the square root of 49.
the square root of 43.
6.557
6.6
Yes: it amounts to roughly 6.557438524
The square root of 1849 is 43.
The square root of 36 and the square root of 49.
the square root of 43.
sqrt(16) = 4 4^(3) = 64 This can algebrically be shortened to 16^(3/2)
43 43X43=1849
6.557438524302000652344109997636
6.557
6.6
Since you are using a computer you have access to a calculator: click [START] - click [RUN] - type "calc" - hit [ENTER] Answer: √43 = 6.5574The square root of 43 is an irrational number
2 x sq root 43
find the square root of the numerator and the square root of the denominator
It's easy to guess. The nearest square number below 43 is 36 = 62, and the nearest above is 49 = 72. The square root of 43 must be between 6 and 7 then.