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1. I can get the right answer easily, but I'm not sure on the order of working it out.
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I first root 36 , multiply out the indice of p to give 6p^2 = 24

Now do I root 24 then divide by 6 , or do 24/6 rooted.

The 24/6 is the easier way and gets the right answer, but would you do division before indices ?
2. Sqaure both sides, divide by 36, and then 4th root it

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3. (Original post by WildBerry)

I can get the right answer easily, but I'm not sure on the order of working it out.
---------------

I first root 36 , multiply out the indice of p to give 6p^2 = 24

Now do I root 24 then divide by 6 , or do 24/6 rooted.

The 24/6 is the easier way and gets the right answer, but would you do division before indices ?
Yes you are correct with regards to your latter point; remember though that when you square root 4 in this case it gives either a positive or negative value. This is for future reference anyway. If ever have a situation like this ideally you should divide first then square root or otherwise.
4. (36p^4)^1/2 = 6p^2 = 24......from there, pretty obvious what the answer is now!
5. Yes ideally you should divide before square rooting; also don't forget to provide the answer as both a positive and negative value; a mistake which many make is to neglect this.

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