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Mathematics 17 Online
OpenStudy (anonymous):

15/2 square root 75

OpenStudy (saifoo.khan):

root3 / 2

OpenStudy (anonymous):

can you show the work please

OpenStudy (anonymous):

\[\sqrt{75}=\sqrt{25*3}=5 \sqrt{3} \]\[\frac{15}{2}5 \sqrt{3}=\frac{75 \sqrt{3}}{2} \]

OpenStudy (anonymous):

i dont understand what you did

OpenStudy (anonymous):

The problem seems to be to simplify the following:\[\frac{15}{2}\sqrt{75} \]Is that correct?

OpenStudy (anonymous):

\[\left(\frac{15}{2}\right)\sqrt{75}=\left(\frac{15}{2}\right)\left(5 \sqrt{3}\right)=\left(\frac{15}{2}\right)(5 )\sqrt{3}=\frac{75}{2}\sqrt{3} \]

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