Question

Order the following numbers from least to greatest.
Help please

Answer 1

`2(1)/(3)`,
`√(7)`,
`\sqrt[3]{27}`

Explanation:

If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values.
`\sqrt[3]{27}` is equivalent to 3, and
`√(7)` is less than
`√(9)` - which is 3 - so you know that
`\sqrt[3]{27}` is going to be the greatest number out of the set. Since
`√(7)` is approximately equal to 2.65, and
`2(1)/(3)` is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be
`2(1)/(3)`,
`√(7)`,
`\sqrt[3]{27}`.