What is #(4+4sqrt3)/(2sqrt2 + sqrt3)#?

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Answer 1 · 2018-04-01T19:53:06

#(2 sqrt 2+2 sqrt 6-sqrt 3-3)/(1 1/4)#

#(4+4 sqrt 3)/(2 sqrt 2+sqrt 3)#

#:.=(cancel 4^2(1+sqrt 3))/(cancel2^1(sqrt 2+1/2 sqrt 3))#

#:.=( 2(1+sqrt 3))/(sqrt 2+1/2 sqrt 3)xx(sqrt 2-1/2 sqrt3)/(sqrt 2-1/2 sqrt3)#

#:.=(2 sqrt 2+2 sqrt 2 sqrt 3-sqrt 3-3)/(1 1/4)#

~~~~~~~~~~~~~~~~~~~~~~~

check:-

#(4+4 sqrt 3)/(2 sqrt 2+sqrt 3)#

#:.=10.92820323/4.560477932=2.396284642#

#:.=(2 sqrt 2+2 sqrt 2 sqrt 3-sqrt 3-3)/(1 1/4)#

#:.=2.995355803/1.25=2.396284642#