Question

carbon is a neusatile element reason

Answer 1

carbon is versatile because it can form single, double and triple bond .It can also form chains, branched chains and rings when connected to other carbon atom...

Answer 2

Carbon is a neusatile element and is found in many different chemical compounds, including those found in space. Carbon is neusatile because it can form single, double, and triple bonds. It can also form chains, branched chains, and rings when connected to other carbon atoms.

The word verstaile means having great diversity or variety. 
Carbon is a very friendly element. The number of carbon compounds which are known to scientists till date is very large. It is because of this that carbon is called a versatile element.
This versatile nature is because of:
Tetravalency: Tetra means four and valency means the number of electrons gained or losed or shared to attain stable configuration. So, tetravalency refers to the phenomenon of sharing four electrons by an element to attain stable condition.
Now, the electronic configuration of carbon is 2, 4. It shares four electrons with other elements to attain a stable configuration.
Catenation: This is a property of self-linking. This property depends on size of atom which will decide the M-M bond strength. This property is more unique for carbon as more than thousand atoms of carbon can be linked together.