Arithmetic » Simplifying square roots
Simplifying (square) roots is based on the following rule:
![square root(ab) = square root(a) × square root(b)](Rekenen_bestanden/regel2.png)
Examples
![square root(45) = square root(9×5) = square root(9) × square root(5) = 3 × square root(9) = 3 square root(9)](Rekenen_bestanden/Wortelsvereenvoudigen2.png)
![square root(150) = square root(25×6) = square root(25) × square root(6) = 5 × square root(6) = 5 square root(6)](Rekenen_bestanden/Wortelsvereenvoudigen3.png)
Note: Take a square as large as possible from the number:
So not: | ![]() |
but: | ![]() |
What is behind 'So not:' is possible and mathematically correct, but what is wrong is the fact that can be simplified further.
The can be simplified to
.
So: