SOLUTION: Simplest radical form: {{{sqrt(24a^6b^17c^5)}}}

24 contains the perfect square 4 as a factor, so write 24 as 4*6



Any even power of a letter is a perfect square, so 



1. since  is an even power of a letter, we leave it as it is right now.

2. since  is an odd power of a letter, we write it as the largest even 

power times the letter to the first power, so write it as 

or just 

3. since  is an odd power of a letter, we write it as the largest even

power times the letter to the first power, so write it as , or just 



So 







becomes







or making it colorful:



 



The ones I have colored red come out out of the radical 

and the ones I have colored green stay underneath.

When we take the square root of the 4 we write 2 in front

of the radical. When we take the square root of the

even power of a letter out front we must divide the even

exponent by 2:







or just



 



Edwin