SOLUTION: Please help me with this one, as I need to simplify it: 3 divided by the 4th root of 144

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Question 1012052: Please help me with this one, as I need to simplify it:
3 divided by the 4th root of 144
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this one, as I need to simplify it:
3 divided by the 4th root of 144
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Hint: root%284%2C144%29+=+sqrt%2812%29

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
This is the way it plays in my mind.
I would probably not write all the steps I show.

I also like to think of roots as rational exponents,
3%2Froot%284%2C144%29=3%2F144%5E%221+%2F+4%22=3%2F%2812%5E2%29%5E%221+%2F+4%22=3%2F%2812%5E%222+%28+1+%2F+4+%29%22%29=3%2F12%5E%221+%2F+2%22=%0D%0A3%2F%284%2A3%29%5E%221+%2F+2%22=3%2F%284%5E%221+%2F+2%22%2A3%5E%221+%2F+2%22%29=3%2F%282%2A3%5E%221+%2F+2%22%29=%281%2F2%29%283%2F3%5E%221+%2F+2%22%29=%281%2F2%293%5E%221+-+1+%2F+2%22=%281%2F2%293%5E%221+%2F+2%22=3%5E%221+%2F+2%22%2F2=sqrt%283%29%2F2