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Mathematics 20 Online
OpenStudy (anonymous):

plz help

OpenStudy (anonymous):

Which shows the expressions in the order they would appear on a number line from least to greatest? 4 to the power of 3, square root of 40, square root of 13, square root of 7, 14 over 9 14 over 9, square root of 7, square root of 13, square root of 40, 4 to the power of 3 4 to the power of 3, square root of 7, square root of 13, 14 over 9, square root of 40 square root of 40, 14 over 9, square root of 13, square root of 7, 4 to the power of 3

OpenStudy (anonymous):

i don't understand it

OpenStudy (michele_laino):

hint: I rewrite your numbers as below: \[\Large \begin{gathered} {4^3} = 64 = \sqrt {4096} \hfill \\ \\ \sqrt {40} \hfill \\ \\ \sqrt {13} \hfill \\ \\ \sqrt 7 \hfill \\ \\ \frac{{14}}{9} = \sqrt {\frac{{196}}{{81}}} \simeq \sqrt {2.42} \hfill \\ \end{gathered} \] In this form, it is easy to write them in ordered sequence

OpenStudy (anonymous):

huh

OpenStudy (michele_laino):

for example, since \(40>13\) then we can write \( \sqrt {40} > \sqrt {13}\)

OpenStudy (anonymous):

thanks

OpenStudy (michele_laino):

:)

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