How do you simplify #(3 sqrt 2-sqrt 5)(2 sqrt5+4 sqrt 2)#?

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Answer 1 · 2018-03-30T07:33:09

#14 + #2#sqrt10#

Expand the brackets
#(3sqrt2 - sqrt5 )(2sqrt5 + 4sqrt2)#

= #6sqrt10 + 12sqrt4 - 2sqrt25 - 4sqrt10#

Collect like terms and square root any square numbers;

= #2sqrt10 + 24 - 10#

= #2sqrt10 + 14#

Or

#14 + 2sqrt10#