Question

The smallest 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. Can't be determined

Answer 1

Answer: (A)

$\sqrt{17}-\sqrt{12}$

$\sqrt{17}\approx 4.123$

$\sqrt{12}\approx 3.464$

$\sqrt{11}\approx 3.316$

$\sqrt{6}\approx 2.449$

$\Rightarrow \sqrt{17}-\sqrt{12}=0.659$

$\Rightarrow \sqrt{11}-\sqrt{6}=0.867$

Hence, $\sqrt{17}-\sqrt{12}$ is smaller.