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

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

If $$ P={{x^2-36}\over{x^2-49}}$$ and $$ Q={{x+6}\over{x+7}}$$ then the value of $$ {P\over{Q}}$$ is.

If a + a²+a³-1=0, then what is the value of a³ +(1/a)?

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

If $$ {\sqrt{2x+9}+x=13}$$ then find the value of x?

If (a+b)=16 and a³+b³=1456, then what is the value of ab?

The ratio of two unequal sides of a rectangle is 1 : 2. If its perimeter is 24 cm, then the length of diagonal in cm is: