The Calculation

Many of the times they themselves gave examples or chose the number. Rank this, noticed that the pupils who were intent had understood and started to have notion of what it is approached square shaped root. After the explanation above, was transferred to explain the calculation to it of roots through fatorao. In this type of method, through divisions of the number for prime factors, it is arrived a product of high factors the illustrious representative determined ones, that are the proper fatorado number. This fatorao was placed in the place of the number. When the nth root was accurate the exponents of consolidating was multiple of the indices.

In this in case that, it were enough to write (s) consolidating (s) is of the radical and to raise it (s) to the quotient of the exponents of being consolidated divided by the index. Calculating the numbers it are of the radical, has the root of the number previously considered. When the root was approach, the professor explained that some (s) factor (you are) of consolidating could leave but that he would be always some (s) factor (you are) imprisoned (s) inside of the radical. As example start, it explained as to calculate the square shaped root of 8. Fatorado number 8 is equal the 2 raised the 3. Being that in the radical the index is 2 (square shaped root).

One perceived that exponent 3 is not multiple of the index (2). Soon, using it property of harnesses of same base, professor substituted in the radical, 2 raised the 3 for 2 raised 2 times 2 raised the 1. The first factor of the exponent leaves therefore its exponent is multiple of the index (the factor the 1 is of the index is high that it is the quotient between the exponent and the index); as the factor does not leave therefore its exponent is 1 (it is not multiple of the index of the radical).

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