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Question 1:

If $\sqrt{x}+\frac{1}{\sqrt{x}}=\sqrt{19}$, then value of $x \sqrt{x}+\frac{1}{x \sqrt{x}}$ ?

Question 2:

If $5 a+4 b=24$ and $a b=4$ then find the value of $25 a^{2}+16 b^{2} ?$

Question 3:

If $x=3+\sqrt{8}$, then find the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$

Question 4:

If $a^{2}+b^{2}=4 b+6 a-13$, Then what is the value of $a+b=?$

Question 5:

If $\frac{6 x}{2 x^{2}+5 x-2}=1, x>0$, then the value of $x^{3}+\frac{1}{x^{3}}$ is.

Question 6:

If $x-y=5$ and $x y=15$, then the value of $x^{3}-$ $\mathrm{y}^{3}$ ?

Question 7:

If $a=129, b=127$ and $c=-256$, then find the value of $a^{3}+b^{3}+c^{3}-3 a b c$ ?

Question 8:

If $3 x+\frac{1}{2 x}=5$, then $8 x^{3}+\frac{1}{27 x^{3}}=?$

Question 9:

If $x-5 \sqrt{x}-1=0$, then find $x^{2}+\frac{1}{x^{2}}$ is equal to

Question 10:

$\left(x+\frac{1}{x}\right)^{2}=3$, then the value of $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ is: