Răspuns:
ma=(a+b):2 mg=√a·b
a) ma=(√2+√8):2=(√2+2√2):2=(3√2):2 [tex]mg=\sqrt{\sqrt{2}*\sqrt{8} } =\sqrt{\sqrt{16}} =\sqrt{4} =2[/tex]
b) [tex]ma=\frac{\sqrt{2}-1+\sqrt{2}+1 }{2} =\frac{2\sqrt{2} }{2} =\sqrt{2}[/tex] [tex]mg=\sqrt{(\sqrt{2}-1)(\sqrt{2}+1) } =\sqrt{2-1} =1[/tex]
c) 4√6=√96 ⇒ |4√6-10|=10-4√6
ma=(10-4√6+10+4√6):2=20:2=10
mg=√(10-4√6)(10+4√6)=√(100-96)=√4=2
Explicație pas cu pas: