Find the square root of 3364 and 1936. Find (under root 0.3364)+(under root 0.1936)
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Calculate the Square Root square root of 1936
√19361936
Split the radicand into pairs of digits.
√11993366
Determine the largest integer whose squareis less than or equal to 1919.
44√11993366
Square the value above the line and place it under the term like in a long divisionproblem.
44√119933661166
Subtract 1616 from 1919 to get 33.
44√11993366116633
Bring down the next two digits of the radicand.
44√119933661166333366
Double the number above the radicand (2⋅4=8)(2⋅4=8) and write it down followed by a blank space (n)(n), inside parentheses. Then, multiply it by nn.
44√119933661166333366 (88nn)·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 remainder of 336336. In this case 44works because 84⋅4=33684⋅4=336, which is less than 336336.
4444√119933661166333366 (8844)·44
Multiply the last digit above the radical (4)(4)by the number inside the parentheses (336)(336)and insert the product under the last term.
4444√119933661166333366333366 (8844)·44
Subtract 336336 from 336336 to get 00.
4444√119933661166333366333366 (8844)·4400
Since there are 22 pair of numbers to the left of the decimal place in 19361936, the decimal of the answer is put 22 place from the left side of the answer.
44
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