Index of a Radical
The index of a radical refers to the number written as a small number to the left of the square root sign (√)
The index of a radical refers to the number written as a small number to the left of the square root sign (√). It indicates the degree or power of the root.
For example, if we have √x, the index is 2. This means we are taking the square root of x.
Similarly, if we have ∛x, the index is 3. This means we are taking the cube root of x.
In general, if we have the radical √n√x, the index is n. This means we are taking the nth root of x.
The index determines how many times we need to multiply a number by itself to obtain the value inside the radical. For instance, if we have √16, the index is 2. We need to find a number that, when multiplied by itself, equals 16. In this case, that number is 4 because 4 × 4 = 16.
It’s important to note that the most common index is 2 (for square root), but other indices can also be used depending on the problem or context.
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