Why does (sqrt(2)/2)x(sqrt(3)/2)-(1/2)x(sqrt(2)/2) simplify to (sqrt(2)/4)x(sqrt(3)-1)?

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Answer 1 · 2018-06-25T18:34:59

Now it's better.

#(sqrt2/2) (sqrt3/2)-(1/2)(sqrt2/2)#

#((sqrt2)(sqrt3))/4-sqrt2/4#

#sqrt2/4[sqrt3-1]#

Answer 2 · 2018-06-25T20:53:03

See below...

#sqrt(2)/2 * sqrt(3)/2-1/2 * sqrt(2)/2=#

#(sqrt(2) * sqrt(3))/(2*2)-(1*sqrt(2))/(2*2)=#

#(color(red)(sqrt(2)) * sqrt(3))/color(red)(4)-color(red)(sqrt(2)/4)=#

#sqrt(2)/4 * (sqrt(3)-1)#