Answer and Step-by-step explanation:
To find out these numbers without a calculator, you would have to do a bit of educated guessing.
For [tex]\sqrt{\frac{54}{3} }[/tex], We would first do on a piece of paper 54 divided by 3.
3 goes into 54 [18] times, so 54 divided by 3 is 18.
Now we have [tex]\sqrt{18}[/tex].
This is where the guessing part comes in. We have to find a number that multiplies close to 18. We can use the number 4 and 5 as the number's "boundaries". 4 times 4 is 16 and 5 times 5 is 25. 16 is closer to 18 than 25 is to 18, so we would use 4, or approximately 4, since it would be a little more than 4.
≈ 4
For [tex]\sqrt{13}[/tex], we do the same process. 3 times 3 is 9 and 4 times 4 is 16. The number is somewhere between 9 and 16, so the square rooted number is somewhere between 3 and 4.
≈ 3
Then we have 6.8, and 26/3
26/3 is approximately 8.6
so, the order from least to greatest would be
[tex]\sqrt{13}[/tex], [tex]\sqrt{\frac{54}{3} }[/tex], 6.8, 26/3
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