How do you simplify #\sqrt { 10} ( 3\sqrt { 5} - 5\sqrt { 2} )#?

1 Answer
Aliya M.
Apr 21, 2018

3#sqrt5# x #sqrt10# = 3#sqrt50#
#sqrt10# x -5#sqrt2# = -5#sqrt20#
#sqrt50# = #sqrt25# x #sqrt2# = 5#sqrt2#
#sqrt20# = #sqrt4# x #sqrt5# = 2#sqrt5#
3 x 5#sqrt2# = 15#sqrt2#
-5 x 2#sqrt5# = -10#sqrt5#
15#sqrt2#-10#sqrt5#

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