Question

The greater number between $\sqrt{17}-\sqrt{12}$ and $\sqrt{11}-\sqrt{6}$ is ____.

• A. $\sqrt{17}-\sqrt{12}$
• B. $\sqrt{11}-\sqrt{6}$
• C. Both are equal
• D. Cannot comare

Answer 1

The correct option is B $\sqrt{11}-\sqrt{6}$

$\sqrt{17}=4.12\sqrt{12}=3.46\therefore \sqrt{17}-\sqrt{12}=0.66$

$\sqrt{11}=3.32\sqrt{6}=2.45\therefore \sqrt{11}-\sqrt{6}=0.87$

$\sqrt{11}-\sqrt{6}>\sqrt{17}-\sqrt{12}$