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Mathematics 19 Online
OpenStudy (anonymous):

^3√1250x -^3√10x^4

OpenStudy (unklerhaukus):

\[\sqrt[3]{1250x} -\sqrt[3]{10x^4}\]?

OpenStudy (anonymous):

Correct ;-)

OpenStudy (unklerhaukus):

are the x terms under the radical ?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

Subtract. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent non negative number

OpenStudy (anonymous):

Its kinda hard huh? ;-)

OpenStudy (unklerhaukus):

\[\sqrt[3]{1250x} -\sqrt[3]{10x^4}\]\[=\sqrt[3]{1250}\sqrt[3]{x} -\sqrt[3]{10}\sqrt[3]{x^4}\]\[=\sqrt[3]{125}\sqrt[3]{10}x^{1/3}-\sqrt[3]{10}x^{4/3}\]\[=5\sqrt[3]{10}x^{1/3}-\sqrt[3]{10}xx^{1/3}\]\[=(5-x)x^{1/3}\]\[=(5-x)\sqrt[3]{x}\]

OpenStudy (unklerhaukus):

opps the last two lines should read \[=(5-x){(10x)}^{1/3}\]\[=(5-x)\sqrt[3]{{(10x)}}\]

OpenStudy (anonymous):

ok thanks ;-) Can u do one more??

OpenStudy (unklerhaukus):

maybe

OpenStudy (anonymous):

Lol

OpenStudy (unklerhaukus):

i can try

OpenStudy (anonymous):

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