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.

Subtraction of Decimal Numbers

Subtraction of Decimal Numbers

Something that we always go through in our life is the check of change, those little coins that t...

read more
Distance between two points

Distance between two points

The distance between two points is the measure of the line segment that joins them.We can calcula...

read more
Linear Systems: what they are, types and how to solve

Linear Systems: what they are, types and how to solve

Linear systems are sets of equations associated with each other that have the following form:The ...

read more