<PRE><B>Question 166014</B>
how would you go about solving this problem?
7 sqrt12 + 10 sqrt48
;
Not exactly solving, You can simplify it, by factoring etc.
:
7*{{{sqrt(12)}}} +  10*{{{sqrt(48)}}}
:
factor inside the radicals to reveal the perfect squares\
7*{{{sqrt(4*3)}}} +  10*{{{sqrt(16*3)}}}
:
Extract those perfect squares
7*2*{{{sqrt(3)}}} +  10*4{{{sqrt(3)}}}
which is
14*{{{sqrt(3)}}} +  40*{{{sqrt(3)}}}
:
Now we have like terms so just add em up
54*{{{sqrt(3)}}}</PRE>