Question

Guys, can any of you teach me what a surd is, and how to prove if a given number is a surd or not?

Answer 1

Surds - it means when we can't simplify a number to remove a square root (or cube root etc)
Example: √2 cannot be simplified anymore so it is a SURD

Answer 2

Hey...hi...friend...!! I will explain you what is a surd.

Surd is a mathematical irrational number.

a surd number, especially the irrational root of an integer.

Ex : √4 ( square root of 4 ) can be written as 2 , so it is not a surd.

There are quintic equations of the form x5+ax4+bx3+cx2+dx+f=0x5+ax4+bx3+cx2+dx+f=0 that cannot be solved by radicals (which means that no general formula for them that involves +,−,×,÷+,−,×,÷ and √nn can be found). One of these equations is x5−x+1=0x5−x+1=0. Note that since the polynomial of the left hand side of the equation has odd degree, one of its roots is guaranteed to be a real number. 

HOPE YOU GOT THE ANSWER....FRIEND....!!