radical, in chemistry, group of atoms that are joined together in some particular spatial structure and that take part in most chemical reactions as a single unit. Important inorganic radicals include ammonium, NH4; carbonate, CO3; chlorate, ClO3, and perchlorate, ClO4; cyanide, CN; hydroxide, OH; nitrate, NO3; phosphate, PO4; silicate, SiO3 (meta) or SiO4 (ortho); and sulfate, SO4. The use of these radicals simplifies the naming and description of inorganic compounds, since such usage does not consider the electronic charge on the group. (When ions are dealt with, electronic charge must be considered.) In organic chemistry, the term radical is sometimes used synonymously with group; e.g., the group CH3 is sometimes called the methyl radical instead of the methyl group.
RADICAL is also a group of elements or atoms usually passing intact from one compound to another but generally incapable of prolonged existence in a free state.
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48=16*3 (where * means multiplied by). So in my way of thinking the radical of 48 is the square root of 48 = 4*sqrt(3)
Exact value means you do not approximate. So if you answer has a radical in it, you leave the radical and do not approximate it. If it has a fraction such as 1/3, you leave it and do not approximate it as .3 or .33 or even.333333333333333...
Radical (3x) = radical(x) * radical(3).
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30
Radical 147 simplified is 7 radical 3. radical147= radical 49* radical 3 the square root of 49 is 7 therefore the answer is 7 radical 3