Question

 Rezolvarea exercitiului √7(√7-√6)+√6(√7-√6)

Answer 1

$\sqrt{7}(\sqrt{7} - \sqrt{6} )+ \sqrt{6} ( \sqrt{7} - \sqrt{6} )= \\ \\ ( \sqrt{7} + \sqrt{6} )( \sqrt{7} - \sqrt{6} )= \\ \\ ( \sqrt{7})^{2} -( \sqrt{6})^{2}= \\ \\ 7-6=1$

SAU

[tex]\sqrt{7}(\sqrt{7} - \sqrt{6} )+ \sqrt{6} ( \sqrt{7} - \sqrt{6} )= \\ \\ (\sqrt{7}) ^{2}- \sqrt{42} + \sqrt{42} -( \sqrt{6} )^{2}= \\ \\ ( \sqrt{7})^{2}- (\sqrt{6})^{2}= \\ \\ 7-6=1 [/tex]