![]() What is the largest number that we can put in the next position and multiply times the divisor and still be less than or equal to what we have? (Algebraically, what is d such that d × 2700 ≤ 28742?) 10 might work (since 10 × 2700 = 27000), but we can only use a single digit, so we'll try 9. First bring down 3 times the square of the number on top (3 × 3²=27) leaving room for two more digits (27_ _). _3_Ĭoming up with the next "divisor" is more involved than for square roots. Now bring down the next three digits (742). Write 3 above, write the cube below and subtract. What is the largest number whose cube is less than or equal to it? It is 3, whose cube is 27. Look at the leftmost digit(s) (55 in this case). ![]() (The decimal point is a period (.), and commas (,) mark triples of digits.) _ ![]() Mark off triples of digits, starting from the decimal point and working left. Set up a "division" with the number under the radical. Suppose you need to find the cube root of 55,742,968. Calculation of a cube root by hand is similar to long-hand division or manual square root. ![]() This describes a "long hand" or manual method of calculating or extracting cube roots.
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