One thing I learned this week was how to simplify an entire radical. To simplify an entire radical you first have to find the prime factorization of the number under the root sign. Now try to find a pair, or three (depending on the index) of numbers which you then multiply by each other to get a square, cubed, etc. root and you leave the left over numbers as they are, under a square root. You can then solve the perfect square(s) out of all your individual roots and that’ll be the coefficient. If there is more than one imperfect square root, then multiply them by each other and keep that under one root sign, do not calculate it. You now have a simplified entire radical, or in proper words a mixed radical.