Well if you have 30/72 you first need to find the greatest common factor, which happens to be 6. The divide both 30 and 72 by 6 and you get 5/12. This cannot be simplified therefore it is now in simplest form.
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72/132 factor out 12 12*6/12*11 now, as 12 is a shared factor it can be canceled, top and bottom 6/11 --------simplified
28/30 = 14/15
√-72 = i√(622) = i6√2
it depends on what surd you have. Take root 72 for example, to simplify this, divide by a factor of 72, in this case 8, so that you are left with root 8 times by root 9. The root 9 can be simplified to just 3, and you will be left with 3 root 8 as your simplified answer
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