a)
\sqrt3*\sqrt{15}=\sqrt3*\sqrt3*\sqrt5=3\sqrt5
b)
\sqrt{10}*\sqrt6=\sqrt{60}=\sqrt{4*15}=2\sqrt{15}
c)
\sqrt{30}*\sqrt{15}=\sqrt{2}*\sqrt{15}*\sqrt{15}=15\sqrt2
d)
3\sqrt{21}*\sqrt7=3\sqrt7*\sqrt3*\sqrt7=3\sqrt3*7=21\sqrt3
e)
6\sqrt{50}*(-3\sqrt{12})=6\sqrt{25*2}*(-3\sqrt{4*3})=6*5\sqrt2*(-3*2\sqrt3)=30\sqrt2*(-6\sqrt3)=-180\sqrt6
f)
2\sqrt{15}*0,6\sqrt{10}=1,2\sqrt{15}*\sqrt{10}=1,2*\sqrt3*\sqrt5*\sqrt5*\sqrt2=1,2*5*\sqrt6=6\sqrt6
albo
2\sqrt{15}*0,6\sqrt{10}=1,2\sqrt{150}=1,2\sqrt{5^2*6}=1,2*5\sqrt6=6\sqrt6
rozkładam 150 na czynniki pierwsze:
150|2
75 |3
25 |5
5 | 5
1 |