Find the compound ratio of 2:1,3:5 and 20:9\sqrt{2} : 1, 3 : \sqrt{5} \text{ and } \sqrt{20} : 92:1,3:5 and 20:9.
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Compound ratio of 2:1,3:5 and 20:9\sqrt{2} : 1, 3 : \sqrt{5} \text{ and } \sqrt{20} : 92:1,3:5 and 20:9,
=21×35×209=21×35×259=223.= \dfrac{\sqrt{2}}{1} \times \dfrac{3}{\sqrt{5}} \times \dfrac{\sqrt{20}}{9} \\[1em] = \dfrac{\sqrt{2}}{1} \times \dfrac{3}{\sqrt{5}} \times \dfrac{2\sqrt{5}}{9} \\[1em] = \dfrac{2\sqrt{2}}{3}.=12×53×920=12×53×925=322.
Hence, compound ratio of 2:1,3:5 and 20:9 is 22:3\sqrt{2} : 1, 3 : \sqrt{5} \text{ and } \sqrt{20} : 9 \text{ is } 2\sqrt{2} : 32:1,3:5 and 20:9 is 22:3.
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