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Question by  mommytoc (56)

# Why is it important to simplify radical expressions before adding or subtracting, how is adding expressions similar and different from adding polynomials?

I am at a loss in math class.

 +1 vote! +8 you voted Answer by  Joshered (10) You cannot combine (add or subtract) radicals unless they are like (meaning the numbers under the radicals are the same), such as sqrt(3) + sqrt(3) = 2sqrt(3). Polynomials are expressions, but that do not have absolute value, any roots (such as square roots), or division by a variable. x + 3 is a polynomial, but 5/x + 3 is not.

 +1 vote! +7 you voted Answer by  Ascencion (54) Between the addition signs of a polynomial are only variables which have a coefficient and are raised to some power. This can be any power, including fractional powers. Example: (x-squared) + (sqroot of x). A radical is a fractional power. Simplified radical expressions are ready for placement into a polynomial.

 +1 vote! +6 you voted Answer by  VB (361) You can only combine terms (Add/Subt) if they are the same type of terms. Examples of when you can combine: 4x^2 - x^2 = 3x^3 5 SquareRoot[37] + 3 SquareRoot[37] = 8 SquareRoot[37] Not the same: SquareRoot[72] - SquareRoot[8] But if you simplify, 6 SquareRoot[2] - 2 SquareRoot[2] = 4 SquareRoot[2] then you can combine

 +1 vote! +1 you voted Answer by  1pal4u (4) How are radical and polynomial expressions the same? How are they different?