Q: Change a mixed radical to an entire radical?

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When arranging radicals, it is important to consider the index of the radical, whether or not the radical is mixed or entire, and then the radicand.

to change entire radical into mixed radical , you need to factor the entire radical first and get all the possible pair of numbers to get the number . for example : √96 its factors are : 1 x 96 , 2 x 48 , 3 x 32 , 4 x 24 , 6 x 16 , 8 x 12 after getting those factors , we need to find the perfect square w/c is 16 ... so now , we need to rewrite the entire radical using the perfect square number . √16 x 6 √16 x √6 = 4√6 done :]]

by saying 5 +6+3=14

yes. I'm assuming u mean something like 2 * sq. root of 3 as a mixed radical. if u want to change it to an entire radical, using the number i stated above, just square the number outside the radical, so 4, and multiply it by the number already in under the radical. u will then get rad 12 which is exactly the same as 2 rad 3. if the rad is not a square, but like finding a cube root, or 4th root, just do the same except to that power, so instead of 2 squared, it will be 2 cubed, 2 to the 4th power and then multiplied by the number under the rad.

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