Question

How is √3 is a polynomial? Explain

Answer 1

Whether cube root x or 3 root x?

If 3 root x means x has an exponent 1/2, if the variable has integral regional number has exponent then it is called polynomial otherwise not.

So 3 root x is not a polynomial

Answer 2

let us assume _/3 is rational

there fore _/3 = a/b ( a and b are co primes)

squaring both sides

3= a²/b²

3b²= a²

3 ÷a²
3÷a

therefore
3*c =a. -----(1)


using 1

3b²= (3c)²
b²=3c²

3÷b²
3÷b

therefore 3 divides both a and b.

this contradicts our assumption this contradiction arises due to our wrong assumption that _/3 is rational

hence
_/3 is irrational