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Find the Sub-duplicate Ratio of the Following : - ICSE Class 10 - Mathematics

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Question

Find the sub-duplicate ratio of the following :

`(9"a"^2)/5 : (25"a"^2)/3`

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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APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 11.4

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Solution Find the Sub-duplicate Ratio of the Following : Concept: Ratios.
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