Question

calcular
a)3√10.(-2√3)
b) √300/3.√3/10
c)2√5+√5
d)2√5.√5

Answer 1

$a) \\ 3 \sqrt{10} (-2 \sqrt{3} )=-6 \sqrt{10.3} =-6 \sqrt{30} \\ \\ b) \\ \frac{ \sqrt{300} }{3} \times \frac{ \sqrt{3} }{10} = \frac{ \sqrt{300.3} }{3.10} = \frac{ \sqrt{900} }{30} = \frac{ \sqrt{9}. \sqrt{100} }{30}= \frac{3.10}{30} = \frac{30}{30}=1 \\ \\ c) \\ 2 \sqrt{5} + \sqrt{5} =3 \sqrt{5} \\ \\ d) \\ 2 \sqrt{5} \times \sqrt{5} =2 \sqrt{25} =2(5)=10$