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How do you simplify #2sqrt5(3+sqrt2)#?

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Apr 13, 2015

The Distributive Property of Multiplication tells us that #color(blue)(a*(b + c ) = a*b + a* c #

#color(red)(2sqrt5(3+sqrt2)#

# = (2sqrt5)*3+(2sqrt5)*sqrt2#

# = 6sqrt5+2(sqrt5*sqrt2)#

# = 6sqrt5+2(sqrt(5*2))# (Because #color(blue)(sqrta*sqrtb = sqrt(a*b)#

# color(green)(= 6sqrt5+2sqrt(10)#

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