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Mathematics 7 Online
OpenStudy (anonymous):

NEED HELP WITH SIMPLIFYING EXPRESSION UNDER A RADICAL (PIC INSERTED)

OpenStudy (anonymous):

OpenStudy (anonymous):

You need to find any perfect square factors underneath the radical. We can then take their square root and pull it out to put it in front. So, we have: \[\sqrt{24x^7y^2}\] y^2 is a perfect square, so pull it out and put its square root in front: \[y \sqrt{24x^7}\] x^7 is equal to x^6 times x. x^6 is a perfect square, pull it out: \[x^3 y \sqrt{24x}\] 24 is equal to 6 times 4. 4 is a perfect square, pull out its square root and we're done: \[2x^3y \sqrt{6x}\]

OpenStudy (anonymous):

oohhhhhhhh

OpenStudy (anonymous):

u make it look so simple

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

wait is that 2x^3 or 2x^2? @vinnv226

OpenStudy (anonymous):

Thats 2x^3. x^3 is the square root of x^6. Recall that taking the square root of a number is the same as halving its exponent.

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