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Rewrite the following irrational numbers...

Rewrite the following irrational numbers in ascending order of magnitude.
`(i)3sqrt(18),6sqrt(144),sqrt(7)" "(ii)3sqrt(12),sqrt(20),6sqrt(25),sqrt(6),12sqrt(112)`

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AI Generated Solution

To rewrite the given irrational numbers in ascending order of magnitude, we will first simplify each expression and then compare their values. ### Part (i): Simplifying and Ordering `3√18`, `6√144`, and `√7` 1. **Simplify each expression:** - **For `3√18`:** \[ 3\sqrt{18} = 3\sqrt{9 \times 2} = 3 \times 3\sqrt{2} = 9\sqrt{2} ...
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