SOLUTION: hello, I'm still struggling with a few problems. Can someone please help explain the following please? 1/2sqrt5 + 11/2sqrt20 = 7/2sqrt5 thank you for any help.

Algebra ->  Radicals -> SOLUTION: hello, I'm still struggling with a few problems. Can someone please help explain the following please? 1/2sqrt5 + 11/2sqrt20 = 7/2sqrt5 thank you for any help.      Log On


   

Question 752363: hello, I'm still struggling with a few problems. Can someone please help explain the following please? 1/2sqrt5 + 11/2sqrt20 = 7/2sqrt5
thank you for any help.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F2%29sqrt%285%29+%2B+%281%281%2F2%29%29sqrt%2820%29+=+%287%2F2%29sqrt%285%29
+%281%2F2%29sqrt%285%29+%2B+%283%2F2%29sqrt%284%2A5%29+=+%287%2F2%29sqrt%285%29
+%281%2F2%29sqrt%285%29+%2B+%283%2F2%292sqrt%285%29+=+%287%2F2%29sqrt%285%29
+%281%2F2%29sqrt%285%29+%2B+%286%2F2%29sqrt%285%29+=+%287%2F2%29sqrt%285%29
+%281%2F2+%2B+6%2F2%29cross%28sqrt%285%29%29+=+%287%2F2%29cross%28sqrt%285%29%29
+7%2F2+=+7%2F2
+7=+7.....it is true; so, +%281%2F2%29sqrt%285%29+%2B+%2811%2F2%29sqrt%2820%29=++%287%2F2%29sqrt%285%29