Question

simplify (3√343-2)(2+√2)^2

Answer 1

Solution : 

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$( 3 \sqrt{343} - 2) X ( 2 + \sqrt{2} ) ^2 \\\\ ( 21 \sqrt{7} - 2 ) \ X \ ( 2 + \sqrt{2} )^2 \ ---------------- ( \sqrt{343} \ = 7\sqrt{7} ) \\\\ ( 21 \sqrt{7} - 2 ) \ X ( 4 + 4\sqrt{2} + 2 ) \ --------------- [ using \ identity ( a + b ) ^2 ] \\\\ ( 21 \sqrt{7} - 2 ) \ X \ ( 6 + 4\sqrt{2} ) \\\\ (21\sqrt{7} ) ( 6 + 4\sqrt{2} ) \ X \ ( -2) ( 6 + 4\sqrt{2} ) \\\\ 126\sqrt{7} + 84\sqrt{14} - 12 - 8\sqrt{2}$

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