If $$ {x^{2}+3{x}+1=0}$$, then the value of $$ {x^{3}+{1\over {x^{3}}}}$$

Value of $$ \sqrt{6+\sqrt {6+\sqrt {6+....}}}$$

If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$.

If $$ x={\sqrt3\over{2}}$$ then the value of $$ \sqrt{1+x}-\sqrt{1-x}$$ will be

If $$ {4p\over{{p^2}}-4p+4}={1\over8}$$, p≠0 then the value of $$ {p+{4\over p}}$$

If $$ {x^{12}+x^{3}\over {x^{6}}}=0$$ find $$ {x^{36}+{1\over x^{36}}}$$

If x, y are two positive real number and  $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?

If x + y + z=1, xy+yz+zx=-26 and x³ + y³+z³=151, then what will be the value of xyz?