Simplifying Exact Roots Using Factorization. roots

Given the following expression:

exact roots
Applying the use of factorization to the calculation of roots.

Example 1

Example 2

Example 3
What is the measure of the edge of a cube that has a volume equal to 729 cm³?

The measure of the edge of a cube that has 729 cm³ of volume is equal to 9 cm.
Roots not exact
Roots that do not result in a positive integer will result in an irrational number. For example:
With the use of a calculator we can find the result.

radical simplification
Example 1
Simplify the following radical:


Example 2

Example 3

To calculate other roots we use the same idea of ​​square root and cubic root.

Do not stop now... There's more after the advertising ;)

by Mark Noah
Graduated in Mathematics

Would you like to reference this text in a school or academic work? Look:

SILVA, Marcos Noé Pedro da. "Simplifying Exact Roots Using Factorization"; Brazil School. Available in: https://brasilescola.uol.com.br/matematica/raizes-1.htm. Accessed on June 29, 2021.

Interpolation of Arithmetic Means

Interpolation of Arithmetic Means

An arithmetic progression consists of a numerical sequence that respects a general formation cond...

read more

Median. Median: a measure of central tendency

In the study of Statistic, at central tendency measures they are an excellent tool for reducing a...

read more
Standard error of estimate

Standard error of estimate

When obtaining any sample of size n, the sample arithmetic mean is calculated. Probably, if a new...

read more