Question

ex. 6 Va rog!!!!!!!!!!!!!!!!!!!!!

Answer 1

$(1-2 \sqrt{3} )( \sqrt{7-4 \sqrt{3} } +5 \sqrt{3} )= \\ (1-2 \sqrt{3} )( \sqrt{(3+2^{2} -4 \sqrt{3)}} +5 \sqrt{3})= \\ (1-2 \sqrt{3} )( \sqrt{( \sqrt{3}-2)^{2}} +5 \sqrt{3})= \\ (1-2 \sqrt{3} )(2- \sqrt{3} +5 \sqrt{3})= \\ (1-2 \sqrt{3} )( 2+4 \sqrt{3} )=2+4\sqrt{3} -4\sqrt{3} -24=-22$