Question 879612
{{{sqrt(50) = sqrt(25*2)}}}



{{{sqrt(50) = sqrt(25)*sqrt(2)}}}



{{{sqrt(50) = 5*sqrt(2)}}}



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{{{sqrt(8) = sqrt(4*2)}}}



{{{sqrt(8) = sqrt(4)*sqrt(2)}}}



{{{sqrt(8) = 2*sqrt(2)}}}



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From the work above, we will use the idea that



{{{sqrt(50) = 5*sqrt(2)}}}



{{{sqrt(8) = 2*sqrt(2)}}}



to simplify



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{{{2*sqrt(50) + 12*sqrt(8)}}}



{{{2*5*sqrt(2) + 12*sqrt(8)}}}



{{{2*5*sqrt(2) + 12*2*sqrt(2)}}}



{{{10*sqrt(2) + 24*sqrt(2)}}}



{{{(10 + 24)*sqrt(2)}}}



{{{34*sqrt(2)}}}



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So {{{2*sqrt(50) + 12*sqrt(8)}}} simplifies to {{{34*sqrt(2)}}}