Question

Which among the following has the LEAST value given that $x>1$.

• A. $\sqrt{x}$
• B. $\sqrt{2x}$
• C. $\sqrt{x.x}$
• D. $x.x$

Answer 1

The correct option is A $\sqrt{x}$

Let $x=2$.

Then $\sqrt{x}=\sqrt{2}=1.414$

$\Rightarrow \sqrt{2x}=\sqrt{2\left(2\right)}=\sqrt{4}=2$

$\Rightarrow \sqrt{x\cdot x}=\sqrt{2\left(2\right)}=\sqrt{4}=2$ and $x\cdot x=2\cdot 2=4$

Therefore, option A has the least value.