Question

Order the following radicals from the least to greatest without using a calculator. show your reasoning


`2 √(6)`

`5 √(10)`

`4 √(2)`

`3 √(3)`
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Answer 1

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3 = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

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