How do you simplify #(2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))#?

1 Answer
sankarankalyanam
Aug 4, 2018

#color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)#

Explanation:

#(2 sqrt3 + 3 sqrt20 - (4 sqrt2 - 3 sqrt5 - 2 sqrt6)#

#=> 2 sqrt3 + 3 sqrt2 - 4 sqrt2 + 3 sqrt5 + 2 sqrt6, " Removing bracess"#

#=> 2 sqrt3 - sqrt2 + 3 sqrt 5 + 2 sqrt2 * sqrt3#

#=> (2 sqrt3 + sqrt2 * 2 sqrt3) - sqrt2 + 3 sqrt5#

#color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)#

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