Question

Answer 1

\(1,5\sqrt{\dfrac{1}{5}}+\dfrac{1}{2}\sqrt{20}+\sqrt{15}\\ =\sqrt{\dfrac{25}{5}}+\sqrt{\dfrac{20}{4}}+\sqrt{5}.\sqrt{3}\\ =\sqrt{5}+\sqrt{5}+\sqrt{5}.\sqrt{3}\\ =2\sqrt{5}+\sqrt{3}.\sqrt{5}\\ =\left(2+\sqrt{3}\right).\sqrt{5}\\\)

\(2,\sqrt{\dfrac{1}{2}}+\sqrt{4,5}+\sqrt{12,5}\\ =\sqrt{\dfrac{1}{2}}+\sqrt{\dfrac{9}{2}}+\sqrt{\dfrac{25}{2}}\\ =\dfrac{\sqrt{2}}{2}+\dfrac{3\sqrt{2}}{2}+\dfrac{5\sqrt{2}}{2}\\ =\dfrac{\sqrt{2}+3\sqrt{2}+5\sqrt{2}}{2}=\dfrac{9\sqrt{2}}{2}\)