Question

Simplify the following i)(root7-root3)^2 ii)(5-root11) (5+root11)

Answer 1

First part:-----------

$(\sqrt{7} - \sqrt{3} )^{2} \\= (\sqrt{7})^{2} + (\sqrt{3})^{2} - 2(\sqrt{7})(\sqrt{3})\\= 7 + 3 - 2\sqrt{21}\\= 10 + 2\sqrt{21}\\\\Second part:-------\\\\(\(\sqrt{5} - \sqrt{11})(\sqrt{5} + \sqrt{11}) \\= (\sqrt{5})^{2} - (\sqrt{11})^{2}\\= 5 - 11\\= -6$

Answer 2

Answer:

[tex](\sqrt{7} - \sqrt{3} )^{2} \\= (\sqrt{7})^{2} + (\sqrt{3})^{2} - 2(\sqrt{7})(\sqrt{3})\\= 7 + 3 - 2\sqrt{21}\\= 10 + 2\sqrt{21}\\\\Second part:-------\\\\(\(\sqrt{5}…