SOLUTION: please help me solve this {{{ 2 sqrt ( 75 ) +3 sqrt ( 48 ) -2 ( 27 ) }}}

Algebra ->  Radicals -> SOLUTION: please help me solve this {{{ 2 sqrt ( 75 ) +3 sqrt ( 48 ) -2 ( 27 ) }}}      Log On


   

Question 887810: please help me solve this +2+sqrt+%28+75+%29+%2B3+sqrt+%28+48+%29+-2+%28+27+%29+
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+2+sqrt+%28+75+%29+%2B3+sqrt+%28+48+%29+-2+sqrt%28+27+%29+
Factor inside each radical to reveal a perfect square
2sqrt%2825%2A3%29+%2B+3sqrt%2816%2A3%29+-+2sqrt%289%2A3%29
Extract those squares
+2%2A5sqrt+%283%29+%2B+3%2A4sqrt+%283%29+-2%2A3sqrt%283%29+
+10sqrt+%283%29+%2B+12sqrt+%283%29+-6sqrt%283%29+
These are like terms so just do the math, we are left with
16sqrt%283%29