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The symbol was first seen in print without the vinculum (the horizontal "bar" over the numbers inside the radical symbol) in the year 1525 in Die Coss by Christoff Rudolff, a German mathematician. In 1637 Descartes was the first to unite the German radical sign √ with the vinculum to create the radical symbol in common use today. [3]
Every nonnegative real number x has a unique nonnegative square root, called the principal square root or simply the square root (with a definite article, see below), which is denoted by , where the symbol " " is called the radical sign [2] or radix. For example, to express the fact that the principal square root of 9 is 3, we write =.
For example, quotient set, quotient group, quotient category, etc. 3. In number theory and field theory, / denotes a field extension, where F is an extension field of the field E. 4. In probability theory, denotes a conditional probability. For example, (/) denotes the probability of A, given that B occurs.
Radical elimination can be viewed as the reverse of radical addition. In radical elimination, an unstable radical compound breaks down into a spin-paired molecule and a new radical compound. Shown below is an example of a radical elimination reaction, where a benzoyloxy radical breaks down into a phenyl radical and a carbon dioxide molecule. [7]
For example, 3 is a square root of 9, since 3 2 = 9, ... The positive square root is also known as the principal square root, and is denoted with a radical sign:
Trump rally gun suspect shows radical signs, sheriff says. ... and there have been several high-profile examples of members of the movement arguing their case − unsuccessfully − in the courts. ...
Weekly Horoscope for Each Zodiac Sign: Radical Retrograde (11/25-12/1) MaKayla McRae. November 24, 2024 at 2:22 AM. ... 3 Zodiac Signs Most Impacted This Week (November 25 to December 1, 2024)
In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression. Examples include , which arises in discussing the regular pentagon, and more complicated ones such as