square root algorithm

Do the square root of 64.253

- Step 1: Separate in pairs of digits, from right to left

and calculate the whole square root of the left pair. Put down

the double of 2.

- Step 2: Bring down the next pair (42) and look for a digit,

c, so that 4c·c is close to 242 but lower than it.


- Step 3: Bring up the 5 to the solution, subtract 225 and

continue with the next pair…


- Last step: Do the proof:  root2+remainder=radicand



iDevice icon Exercise

Use the square algorithm to calculate the square root of:

a) 1524

b) 20.020

a) The root is and the remainder is

b) the root is and the remainder is


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