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Or, if you were to do it this way without estimating at all, but with multiple squaring and much
recombining needed (just two beginning steps are shown):
Or, if you were to do it this way without estimating at all, but with multiple squaring and much
recombining needed (just two beginning steps are shown):
Here's another approach,[math]\sqrt{6}+\sqrt{12}+\sqrt{21} \\ = \sqrt{3}(\sqrt{2}+\sqrt{4}+\sqrt{7}) \\ \lt \sqrt{3}(\sqrt{2} +\sqrt{4} +\sqrt{8})[/math]Now if you square, all that you need to say is that [imath]\sqrt{2} \lt1.5[/imath]. That gets you 120.
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