How do you simplify #(6\sqrt { 5} + 4\sqrt { 6} ) ( \sqrt { 5} - 2\sqrt { 6} )#?

1 Answer
Jim G.
Dec 20, 2017

#-18-8sqrt30#

Explanation:

#"each term in the second factor is multiplied by each"#
#"term in the first factor"#

#•color(white)(x)sqrtaxxsqrtb=sqrt(ab)#

#rArr(color(red)(6sqrt5+4sqrt6))(sqrt5-2sqrt6)#

#=color(red)(6sqrt5)(sqrt5-2sqrt6)color(red)(+4sqrt6)(sqrt5-2sqrt6)#

#=(color(red)(6sqrt5)xxsqrt5)-(color(red)(6sqrt5)xx2sqrt6)#

#color(white)(=)+(color(red)(4sqrt6)xxsqrt5)-(color(red)(4sqrt6)xx2sqrt6)#

#=30-12sqrt30+4sqrt30-48#

#=-18-8sqrt30#

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