radical with a coefficient of 1 or -1
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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.
Here is an example, radical 20 plus radical 5. Now radical 20 is 2(radical 5) so we can add radical 5 and 2 radical 5 and we have 3 radical 5.
radical 3 or 6
2 times radical 5 or about 4.472135955