Question : If $x = \sqrt[3]{5} + 2$, then the value of $x^3-6x^2+12x-13$ is:

Option 1: $–1$

Option 2: $1$

Option 3: $2$

Option 4: $0$

Question : If $\sqrt{5x-6}+\sqrt{5x+6}=6$, then what is the value of $x$?

Option 1: – 4

Option 2: 0

Option 3: 2

Option 4: 4

Question : If $x=\sqrt{–\sqrt{3}+\sqrt{3+8 \sqrt{7+4 \sqrt{3}}}}$ where $x > 0$, then the value of $x$ is equal to:

Option 1: 3

Option 2: 4

Option 3: 1

Option 4: 2

Question : If $x^2-\sqrt{7} x+1=0$, then what is the value of $x^5+\frac{1}{x^5} ?$

Option 1: $19 \sqrt{7}$

Option 2: $21 \sqrt{7}$

Option 3: $25 \sqrt{7}$

Option 4: $27 \sqrt{7}$

Question : If $(x+\frac{1}{x})=–2$, then the value of $(x^7+\frac{1}{x^7})$ is:

Option 1: 1

Option 2: –1

Option 3: 0

Option 4: –2