What is a radical, and how is it expressed mathematically?

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A radical is a mathematical expression that involves the root of a number. The most common type of radical is the square root, but there are also cube roots, fourth roots, and so on.

Mathematically, a radical is expressed using the radical symbol (√) followed by the number or expression under the root. The general form of a radical can be written as:

$$
\sqrt[n]{a}
$$

where:
- $$ n $$ is the index of the root (for example, $$ n = 2 $$ for square roots, $$ n = 3 $$ for cube roots, etc.),
- $$ a $$ is the radicand (the number or expression under the radical).

For example:
- The square root of 9 is expressed as $$ \sqrt{9} $$ and equals 3.
- The cube root of 8 is expressed as $$ \sqrt[3]{8} $$ and equals 2.

In summary, a radical represents the operation of finding a root of a number or expression, and it is expressed using the radical symbol along with the index and radicand.
A radical is a mathematical expression that shows the root of a number. It's written with a radical symbol (√) followed by the number inside. For example, the square root of 9 is √9, which equals 3. Radicals can also be cube roots, fourth roots, and so on, depending on the index number.

What is a radical, and how is it expressed mathematically?

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