How do you simplify $(5 sqrt 2 + sqrt 3)(sqrt 2 + 2 sqrt 3)$ ?

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Answer 1 · 2018-05-16T19:26:50

$16+11sqrt6$

$(5sqrt2+sqrt3)*(sqrt2+2sqrt3)=$
$(5sqrt2*sqrt2+5sqrt2*2sqrt3+sqrt3*sqrt2+sqrt3*2sqrt3)=$
$(5*2+10sqrt6+sqrt6+2*3)=$
$(10+11sqrt6+6)=$
$16+11sqrt6$

How do you simplify (5 sqrt 2 + sqrt 3)(sqrt 2 + 2 sqrt 3)(5 sqrt 2 + sqrt 3)(sqrt 2 + 2 sqrt 3)?