When working out the square root of a
number it is sometimes necessary to check your answer for accuracy by multiplying
the answer by itself. This should come close to the number that was originally calculated.
E.g. the square root of 9 is 3, because 3 x 3= 9, the square root of 25 is 5,
because 5 x 5 = 25
To find the square root of any number, follow the steps below...
We will use an example to explain the steps, the rules apply for all numbers.
Place the decimal point
behind the number (27)
Place an amount of zeros in pairs
behind the decimal point.
the more pairs of zeros, the more accurate the answer.
Calculate a number, when multiplied
by itself comes close or equal to the number (27) to be calculated. (In
this case 5) Place the number (5) before the decimal point
on top of the square root sign and the result of that number
(which is 25) underneath the number being calculated (27) and subtract
it (25) from the number being calculated.(27)
5 x 5 = 25
Bring down the first two zeros
and place them behind the result of the subtraction, (which is 2).
Double the number (5) and place it near the next number down (200). See example...
5 + 5 = 10
Determine the biggest number
placing it behind the number (in this case 10) multiply the total of
that number (101) by the number placed behind (10) (in this case 1)
remember it must give a result less than or equal to the number being
matched (200 in this case). The number you wrote next to the (10) (1),
you also write above the last zero which you brought down. Repeat the
above steps until you have completed the problem. See example below.
1 x 101 =
101, 9 x 1029 = 9261, 6 x 10386 = 62316