360/225 square root by division method
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Square Root square root of 225
√225225
Split the radicand into pairs of digits.
√222255
Determine the largest integerwhose square is less than or equal to 22.
11√222255
Square the value above the lineand place it under the term like in a long division problem.
11√22225511
Subtract 11 from 22 to get 11.
11√2222551111
Bring down the next two digitsof the radicand.
11√22225511112255
Double the number above the radicand (2⋅1=2)(2⋅1=2) and write it down followed by a blank space (n)(n), inside parentheses. Then, multiply it by nn.
11√22225511112255 (22nn)·nn
Find the largest integer value that could replace the nn and be placed in the next position above the radical so when the two numbers are multiplied it is less than the current remainderof 125125. In this case 55 works because 25⋅5=12525⋅5=125, which is less than 125125.
1155√22225511112255 (2255)·55
Multiply the last digit above the radical (5)(5) by the number inside the parentheses (125)(125)and insert the product under the last term.
1155√22225511112255112255 (2255)·55
Subtract 125125 from 125125 to get 00.
1155√22225511112255112255 (2255)·5500
Since there are 22 pair of numbers to the left of the decimal place in 225225, the decimal of the answer is put 22place from the left side of the answer.
√225225
Split the radicand into pairs of digits.
√222255
Determine the largest integerwhose square is less than or equal to 22.
11√222255
Square the value above the lineand place it under the term like in a long division problem.
11√22225511
Subtract 11 from 22 to get 11.
11√2222551111
Bring down the next two digitsof the radicand.
11√22225511112255
Double the number above the radicand (2⋅1=2)(2⋅1=2) and write it down followed by a blank space (n)(n), inside parentheses. Then, multiply it by nn.
11√22225511112255 (22nn)·nn
Find the largest integer value that could replace the nn and be placed in the next position above the radical so when the two numbers are multiplied it is less than the current remainderof 125125. In this case 55 works because 25⋅5=12525⋅5=125, which is less than 125125.
1155√22225511112255 (2255)·55
Multiply the last digit above the radical (5)(5) by the number inside the parentheses (125)(125)and insert the product under the last term.
1155√22225511112255112255 (2255)·55
Subtract 125125 from 125125 to get 00.
1155√22225511112255112255 (2255)·5500
Since there are 22 pair of numbers to the left of the decimal place in 225225, the decimal of the answer is put 22place from the left side of the answer.
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