Q. If $x = \sqrt{7} - \sqrt{5}$ and $y = \sqrt{13} - \sqrt{11}$, then
A) $x > y$
B) $x < y$
C) $x = y$
D) None of these
Explanation
(a)
Given, $x = \sqrt{7} - \sqrt{5}$ and $y = \sqrt{13} - \sqrt{11}$
$\therefore\ \ \ \ \ \ x = 2.64 - 2.23$
And $y = 3.60 - 3.31$
$\Rightarrow x = 0.41$ and $y = 0.29$
$\therefore x > y$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.