How do you evaluate #2\sqrt { 3} ( 2+ 3\sqrt { 3} )#?

1 Answer
sankarankalyanam
Feb 1, 2018

#color(green)(18 + 4 sqrt3 or 2 (9+ 2sqrt3))#

Explanation:

#2sqrt3(2 +3sqrt3)#, removing the backet,

#= 2 sqrt3 * 2 + 2 sqrt3 * 3 sqrt3#

# = 4 sqrt3 + 6 sqrt3 sqrt3#

#= 4 sqrt3 + 6 (sqrt3)^2#

#= 4 sqrt3 + 6 * 3 = 4 sqrt3 + 18#

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