Question

can any one please solve the answer who will solve i will make them brainliest and explain it how it happen mesns the full explanation​

Answer 1

Answer:

11.

$(1+\sqrt{2})/(\sqrt{5} +\sqrt{3}) + (1-\sqrt{2} )/(\sqrt{5} -\sqrt{3} )\\\\TAKE. LCM\\\\= [(1+\sqrt{2} )(\sqrt{5} -\sqrt{3} ) + (1-\sqrt{2} )(\sqrt{5} +\sqrt{3} )] / [(\sqrt{5} )^2 - (\sqrt{3} )^2]\\\\= [\sqrt{5} -\sqrt{3} +\sqrt{10} -\sqrt{6} + \sqrt{5} +\sqrt{3} -\sqrt{10} -\sqrt{6} ]/[5 - 3]\\\\= [2\sqrt{5} - 2\sqrt{6} ]/2\\\\= 2[\sqrt{5} -\sqrt{3} ]/2\\\\= \sqrt{5} -\sqrt{3}\\\\= (1)\sqrt{5} + (-1)\sqrt{6}$