A radical expression, also referred to as an nth root, or simply radical, is an expression that involves a root. Radicals are expressed using a radicand (similar to a dividend), a radical symbol, and an index, which is typically denoted as "n." The most common radicals we see are the square root and the cubed root. The square root is so commonly used that by convention, a radical written without an index is assumed to be a square root.

The above figure, as a whole, makes up a radical. It is read as "the nth root of (x + 2)." If n were 3, it would be the cubed root; if it were 2, it would be the square root. The nth root of a radicand is equal to the value, that raised to the nth power, would equal the radicand. Note that radicals and exponents are closely related, and a radical can be written as the radicand raised to the power of  Examples

1. Find : This is a simple example for the purpose of demonstrating what a radicand is. As mentioned, a radicand written without an index is assumed to be a square root. We could also have written the above problem as: When evaluating the square root, we are looking for a value, x, that raised to the power of 2, equals the radicand. In this case, 22 = 4, so 2 is a square root of 4.

2. Find : The cubed root, like the square root, and nth root, is found in the same way. The problem above can be read as: what value, raised to the power of 3, equals 8? The answer is 2 since:

23 = 2 × 2 × 2 = 8

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