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Order the following numbers from least to greatest.
$$2\frac{1}{3}$$, $$\sqrt{7}$$, $$\sqrt[3]{27}$$
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 $$\sqrt{7}$$ is less than $$\sqrt{9}$$ - which is 3 - so you know that $$\sqrt[3]{27}$$ is going to be the greatest number out of the set. Since $$\sqrt{7}$$ is approximately equal to 2.65, and $$2\frac{1}{3}$$ is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be $$2\frac{1}{3}$$, $$\sqrt{7}$$, $$\sqrt[3]{27}$$.