Question

$\sqrt{11}-\sqrt{10}$ $\square$ $\sqrt{12}-\sqrt{11}$

• A. $<$
• B. $>$
• C. $=$
• D. cannot be determined

Answer 1

Answer: (B)

$>$

$\sqrt{11}=3.316$

$\sqrt{10}=3.162$

$\sqrt{12}=3.464$

Hence,

$\sqrt{11}-\sqrt{10}=3.316-3.162=0.154$

$\sqrt{12}-\sqrt{11}=3.464-3.316=0.148$

Hence , $\sqrt{11}-\sqrt{10}>\sqrt{12}-\sqrt{11}$