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.
The square root of 16 is 4. Four cubed (43) is 64.
6.557
6.6
The square root of 1849 is 43.
The square root of 36 and the square root of 49.
the square root of 43.
The square root of 16 is 4. Four cubed (43) is 64.
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
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.
find the square root of the numerator and the square root of the denominator