Question

7*root3/root10+root3 - 2*root5/root6+root5

Answer 1

Answer:

$\frac{11\sqrt{2}+5\sqrt{15} }{8\sqrt{2}+3\sqrt{15} }$

Step-by-step explanation:

   $\frac{7\sqrt{3} }{\sqrt{10}+\sqrt{3} } -\frac{2\sqrt{5} }{\sqrt{6}+\sqrt{5} }$

=  $\frac{21\sqrt{2}+7\sqrt{15} -10\sqrt{2} -2\sqrt{15} }{2\sqrt{15}+3\sqrt{2}+5\sqrt{2} +\sqrt{15} }$

=  $\frac{11\sqrt{2}+5\sqrt{15} }{8\sqrt{2}+3\sqrt{15} }$