What is a radical!

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pohnpei397 | College Teacher | (Level 3) Distinguished Educator

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In math, a radical is any expression that has a square root, or a cube root, or some other root like that.

In a radical, you have the radical sign (the little sign that you use in square roots - that looks like a check mark with a long horizontal line that goes over the number) and the radicand.  The radicand is the number or other expression that goes under the radical sign.

Radicals can be simplified (like simplifying square root of 25 down to 5) or they can just be left as radicals (square root of 7, for example).

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neela | High School Teacher | (Level 3) Valedictorian

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The roots of the numbers or algebric expressions could be expressed in index form or radical form. Radical form is another form of expressing  roots

x^(1/n)    is the index form or exponent form of nth root of x written like  n√(x). The sign  n√  stands  the nth root of

is called the radical form. In mathematics, radicals could be of any order more than 2. Example:

radicals    order   radicand   index form 

√(10)         2              10           10^(1/2)
3√(11)       3              11            11^(1/3)
a√(y)          a                y           y^(1/a)
x√(Z)         x                Z            Z^(1/x)

radicals    order   radicand   index form

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