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Mathematics 22 Online
OpenStudy (tester97):

How do I divide and simplify if possible?

OpenStudy (shamil98):

waiting on the problem.

OpenStudy (tester97):

\[\frac{ \sqrt{250x ^{16}} }{ \sqrt{2x}? }\]

OpenStudy (tester97):

darn ignore the ? mark

OpenStudy (shamil98):

huge \[\huge \frac{ \sqrt{25 * 10 *x^{16} } }{\sqrt{2x}} = \frac{ 5x^4\sqrt{10x^4} }{ \sqrt{2x} }\] then you multiply the top and bottom by the radical in the denominator. \[\huge \frac{ 5x^4\sqrt{10x^4} }{ \sqrt{2x} } * \frac{ \sqrt{2x} }{ \sqrt{2x} }\] \[\huge \frac{ 5x^4\sqrt{20x^5} }{ 2x }\] \[\huge \frac{ 5x^3 \sqrt{5*4*x^5} }{ 2 } = \frac{ 10x^3\sqrt{5x^5} }{ 2 }\] \[\huge 5x^3\sqrt{5x^5}\]

OpenStudy (shamil98):

I made a huge mistake ugh

OpenStudy (shamil98):

√x^16 = x^8

OpenStudy (shamil98):

\[\huge \frac{ 5x^8\sqrt{10} }{\sqrt{2x} }\]

OpenStudy (shamil98):

\[\huge \frac{ 5x^8 \sqrt{20x} }{ 2x } = \frac{ 10x^7\sqrt {5x} }{ 2 }\]

OpenStudy (shamil98):

\[\huge = 5x^7 \sqrt{5x}\]

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