Question

Arrange the following surds in ascending order: 3√2, 6√3, 9√4
show the steps too please​

Answer 1

Answer:

3√2, 6√3, 9√4

Step-by-step explanation:

$3 \sqrt{2} = \sqrt{18} \\ 6 \sqrt{3} = \sqrt{108} \\ 9 \sqrt{4} = \sqrt{324} \\ \\ since \: 18 < 108 < 324 \\ therefore \: \sqrt{18} < \sqrt{108} < \sqrt{324} \\ = > \: 3 \sqrt{2} < 6 \sqrt{3} < 9 \sqrt{4}$

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