A Radical is an expression that involves a root, usually a square root or cube root.

The three different components of radical are;

• Degree
• Symbol

There are three major components of a radical namely:

### Degree

It indicates how many times a radicand is multiplied by itself. If the number is missing on the root symbol, it is assumed as 2(square root).

$Degree \rightarrow \sqrt[3]{a+b}$

The symbol √ means “root of”. The length of the horizontal bar actually matters.

$Radical Symbol \rightarrow \sqrt[3]{a+b}$

Note – The horizontal bar in the symbol specifies the extent of the expression has to be operated.

$\sqrt{x-y}$

In the above expression, the bar is stretched along the whole expression “x – y”. This reveals that you subtract x from y and then find the square root of it.

If it has only covered the ‘x’ like this:

$\sqrt{x}-y$

It shows that you need to find the square root of x and then subtract y from the result.