Question

The greater number among $\sqrt{17}-\sqrt{12}$ and $\sqrt{11}-\sqrt{6}$ is

• A. $\sqrt{17}-\sqrt{12}$
• B. $\sqrt{11}-\sqrt{6}$
• C. Both are equal
• D. Can't be compared

Answer 1

The correct option is B

$\sqrt{11}-\sqrt{6}$

$\sqrt{17}-\sqrt{12}=4.1-3.4=0.7$

$\sqrt{11}-\sqrt{6}=3.3-2.4=0.9$

$\Rightarrow \sqrt{11}-\sqrt{6}$ is greater.