SOLUTION: How can you simplify radicals?

Question 134104: How can you simplify radicals?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Perform a prime factorization of the quantity under the radical. If any of the prime factors occur in pairs, remove the pair from under the radical and put a single instance of the factor outside the radical. Once all the pairs have been removed, re-combine the remaining factors under the radical, and combine any factors you have moved outside of the radical.

Example:

97020/2 = 48510 One factor of 2, still even
48510/2 = 24255 Another factor of 2, no longer even, but sum of digits div by 3
24255/3 = 8085 One factor of 3, sum of digits still div by 3
8085/3 = 2695 Another factor of 3, sum of digits not div by 3, but ends in 5
2695/5 = 539 One factor of 5, Does not end in 5, so try 7
539/7 = 77 One factor of 7
77/7 = 11 Another factor of 7
11 Is prime.

Factors: 2 * 2 * 3 * 3 * 5 * 7 * 7 * 11.

Pair of 2s, pair of 3s, and pair of 7s, so

. And that is as simple as you can make it.

Example 2:

divided by = (use synthetic division to verify this for yourself). And factors to , so:

RELATED QUESTIONS
How do you simplify Radicals like... (answered by jsmallt9)

how do i simplify... (answered by solver91311)

how do i simplify radicals (answered by MathLover1)

what is radicals? how to simplify radicals? types of... (answered by nyc_function)

how can we simplify radicals having negative indices?? please give examples.... i need... (answered by stanbon)

how to simplify fractions containing... (answered by solver91311)

how do you do... (answered by richwmiller)

How would you simplify radicals like square root of... (answered by ewatrrr)

Simplify: Please simplify the following radicals. thank... (answered by richwmiller)