a)√(2·5) × √(2·9) = √(2²·3²·5) = 2·3·√5 = 6√5
b)√(2·3) × -√(3·5) = -√(2·3²·5) = -3√(2·5) = -3√10
c)[tex] \sqrt{ \frac{ 2^{2} }{3} } * \sqrt{ \frac{1}{3*5} } = \sqrt{ \frac{ 2^{2} }{ 3^{2}*5 } } = \frac{2}{3 \sqrt{5} } = \frac{2 \sqrt{5} }{(3*5)} = \frac{2 \sqrt{5} }{15} [/tex]
d)-2√(2·3) × -√(2·5²) = +2√(2²·3·5²) = 2·2·5·√3 = 20√3
e)[tex] \sqrt{ \frac{1}{2} } * \sqrt{ 2^{2}* 3^{3} } = \sqrt{ \frac{ 2^{2}* 3^{3} }{2} } = \sqrt{ \frac{2*3 ^{3} }{1} } = 3\sqrt{2*3} =3 \sqrt{6} [/tex]
