Question

This is always so tricky for me? I really need help!! Thank you!!!!

Answer 1

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
`\sqrt{(54)/(3) }`, 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
`√(18)`.

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
`√(13)`, 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

`√(13)`,
`\sqrt{(54)/(3) }`, 6.8, 26/3

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