if there's no index in a radical expression, what Is it assumed

If there is no index explicitly shown in a radical expression, it is assumed to be a square root. The index of a square root is 2, even though the "2" is not written. For example:

\[
\sqrt{x} = \sqrt[2]{x}
\]

So, when you see a radical without an index, you can assume it represents a square root.

Would you like to go into more details on radicals?

Here are 5 related questions:

1. How do you simplify radical expressions with higher indices?
2. What is the difference between a square root and a cube root?
3. How do you solve an equation involving square roots?
4. How do you rationalize a denominator that contains a radical?
5. How are fractional exponents related to radicals?

**Tip**: Always check for the smallest possible radical when simplifying expressions.

if there's no index in a radical expression, what is it assumed?

Explore what happens when a radical expression lacks an index. In this guide, learn that when no index is specified, the expression is assumed to represent a square root (with an index of 2). This explanation is essential for mastering the basics of radicals and square roots. Suitable for students in Grades 6-8.

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