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Find: the Sub-duplicate Ratio of the Sub-triplicate Ratio of 4096x6: 729y12. - Mathematics

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Question

Find:
The sub-duplicate ratio of the sub-triplicate ratio of 4096x6: 729y12.

Sum

Solution

The sub-triplicate ratio of 4096x6:729y12
= `root(3)(4096x^6) : root(3)(729y^12)`
= 16x2 : 9y4
∴ The sub-duplicate ratio of 16x2 : 9y4
= `sqrt(16x^2) : sqrt(9y^4)`
= 4x : 3y2.

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Chapter 8: Ratio and Proportion - Exercise 1

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ICSE Mathematics [English] Class 10
Chapter 8 Ratio and Proportion
Exercise 1 | Q 3.2
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