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Question
Find the sub-duplicate ratio of the following :
`(9"a"^2)/5 : (25"a"^2)/3`
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Solution
`(9"a"^2)/5 : (25"a"^2)/3`
`= sqrt ((9"a"^2)/5) : sqrt ((25"a"^2)/3)`
`= 3"a" 1/sqrt 5 : 5"a" 1/sqrt 3`
`= 3 sqrt 3 : 5 sqrt 5`
Sub-duplicate ratio = `3 sqrt 3 : 5 sqrt 5`
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