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Mathematics 19 Online
OpenStudy (anonymous):

Could some one help me factor square roots please ??

OpenStudy (anonymous):

Which ones?

OpenStudy (anonymous):

simplifying completely

OpenStudy (anonymous):

|dw:1340042087003:dw| its

OpenStudy (anonymous):

\[\sqrt{175r^5s}\]??

OpenStudy (anonymous):

if so, then \(175=25\times 7\) so \(\sqrt{175}=\sqrt{25\times 7}=\sqrt{25}\times \sqrt{7}=5\sqrt{7}\) i.e. a 5 comes out of the radical and a 7 stays in

OpenStudy (anonymous):

\[\sqrt{r^5}=\sqrt{r^4\times r}=\sqrt{r^4}\times \sqrt{r}=r^2\sqrt{r}\] i.e. \(r^2\) comes out and \(r\) stays in

OpenStudy (anonymous):

think "two goes in to 5 2 times with a remainder of 1"

OpenStudy (anonymous):

as for the \(s\) i do not see a power on it, so your "final answer " is \[5r^2\sqrt{7rs}\]

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