Question

Calculati:
a)v3+2v3+7v3-5v3=
b)4v5+(6v5-7v5)=
c)-3v2+v2-4v2+10v2=
d)-(3v6+v6)+11v6=

Answer 1

   
$a)~~~\sqrt{3}+2\sqrt{3}+7\sqrt{3}-5\sqrt{3}=\sqrt{3}(1+2+7-5)=\boxed{5\sqrt{3}} \\ b)~~~4\sqrt{5}+(6\sqrt{5}-7\sqrt{5})=4\sqrt{5}-\sqrt{5}=\boxed{3\sqrt{5}} \\ c)~~~ -3\sqrt{2} +\sqrt{2}-4\sqrt{2}+10\sqrt{2}=\sqrt{2}(-3+1-4+10)=\boxed{4\sqrt{2}} \\ d)~~~ -(3\sqrt{6}+\sqrt{6})+11\sqrt{6}=-4\sqrt{6}+11\sqrt{6}=\boxed{7\sqrt{6}}$