# The radical expression \sqrt[n]{a} represents the ? root of a. The number

The radical expression $\sqrt[n]{a}$ represents the ? root of a. The number n is called the ?.

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Step 1
In algebra we have numbers involving radicals and exponents. A radical expression is an expression containing square roots. An equation which contains radical expressions with variables is called radical equation.
An exponent is the expression of the form ${a}^{n}$. In general we use both form of expressions to solve exponent and radical equations.
Step 2
The radical expression and the exponents are very important parts of algebra. To find the solution of an expression or an equation we frequently use the conversion formulas of radical to exponent and vice versa .
In the given Radical form $\sqrt[n]{a}$, it represents the n-th root of a variable a. The value or any variable term inside the square root symbol is called radicand. The value n is called the index of the radical .
For square root we have the index 2 , but for square root we will not mention index.
For cube root we have index 3 , and it is written as "$\sqrt{3}$" and so on.
Hence in general " $\sqrt{n}$" is of index n.
Hence answer of the first blank is to be filled with nth root.
And the answer of the second blank is to be filled with index.