Assuming you mean radical functions, the answer is that you can work with problems that deal with Irrational Numbers. The classic one was finding the diagonal of a unit square.
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There is no reasonable radical approximation for radical 11.
Using a radical (square root) bar. I can't get one on the screen, but I'm sure you know what they look like. Example: fractional exponents can be rewritten in radical form: x2/3 means the cube root of (x2) ... write a radical with an index number 3 to show cube root and the quantity x2 is inside the radical. Any fractional exponent can be done the same way. The denominator of the fractional exponent becomes the index of the radical, but the numerator stays as a whole number exponent in the radical.
Not necessarily. If it is the same radical number, then the signs cancel out. Radical 5 times radical 5 equals 5. But if they are different, then you multiply the numbers and leave them under the radical sign. Example: radical 5 * radical 6 = radical 30
radical 30
a radical b or -a - radical b