Partially taking the root
With the help of root rules, it is possible to partially take roots. The root rule is applied backwards:
When partially taking the root, the root is divided into takeable and non-takeable roots. Then the root is taken from the takeable while the non-takeable roots remain.
- Decomposition into prime numbers
- Summarize into factors with even exponents
- "Divide" the root (apply the root law backwards)
- Partially take roots
Decomposition into prime numbersDivide the number into a product of primes.
Summarize into factors with even exponentsIf possible, summarize in factors that have an even exponent.
"Divide" the rootDivide the root by applying the multiplication law backwards. The result is a takeable and a non-takeable root.
Partially take rootsTake roots (from the takeable ones) by shortening the exponent and the root.