Question : Simplify $\sqrt{36 x^2-108 x+81}$.

Option 1: $6x-9$

Option 2: $2x-9$

Option 3: $5x-9$

Option 4: $3x-3$

Question : If $x=1+\sqrt{2}+\sqrt{3}$, then the value of $(2x^4-8x^3-5x^2+26x-28)$ is:

Option 1: $2\sqrt{2}$

Option 2: $3\sqrt{3}$

Option 3: $5\sqrt{5}$

Option 4: $6\sqrt{6}$

Question : Simplify the following.
$\frac{\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}}{\sqrt{16+19.25 \times 4^2}}$

Option 1: $\frac{7}{18}$

Option 2: $\frac{2}{9}$

Option 3: $\frac{5}{18}$

Option 4: $\frac{1}{9}$

Question : Simplify the following:
$\sin2x+2\sin4x+\sin6x$

Option 1: $4\cos^2x\sin4x$

Option 2: $4\cos^2x\sin x$

Option 3: $2\cos^2x\sin4 x$

Option 4: $4\sin^2 x\sin4 x$

Question : If $x+ \frac{1}{x} =\sqrt{13}$, then $\frac{3x}{{x}^{2} -1}$ equals to:

Option 1: $\sqrt[3]{13}$

Option 2: $\frac{\sqrt{13}}{3}$

Option 3: 1

Option 4: 3

Question : If $2x+\frac{1}{3x}$ = 5, then the value of $\frac{5x}{6x^{2}+20x+1}$ is:

Option 1: $\frac{1}{4}$

Option 2: $\frac{1}{6}$

Option 3: $\frac{1}{5}$

Option 4: $\frac{1}{7}$