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Mathematics 8 Online
OpenStudy (snowcrystal):

Help please (question below) I will fan and medal.

OpenStudy (snowcrystal):

What is the simplified from of \[\sqrt{48n^9}\]

OpenStudy (snowcrystal):

i am confused a bit can you explain? and it is sq.root of 48n^9

random231 (random231):

oh its 9? sorry i read it y!!! imma sorry!! :((

OpenStudy (snowcrystal):

its okay i do admit it does look like a y at 1st

OpenStudy (hoblos):

\[\sqrt{x^{2}} = x\] \[\sqrt{xy}= \sqrt{x} \times \sqrt{y}\] so using these we can solve the problem N.B. 48 = 3x16 = 3(4^2) n^9 = n(n^8) = n(n^4)^2 can you try now ?

OpenStudy (snowcrystal):

ya umm \[\sqrt{6.9n^3} * \sqrt{6.9n^3}\]

OpenStudy (snowcrystal):

my choices are this tho \[A.) 4n^3 \sqrt{3}\] \[B.) 4n^4 \sqrt{3n}\] \[C.) 3n \sqrt{4n^8}\] \[D.) 4 \sqrt{3n^9}\]

OpenStudy (snowcrystal):

@kewlgeek555

OpenStudy (hoblos):

\[\sqrt{48n^{9}} = \sqrt{48}\sqrt{n ^{9}}\] \[\sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^{2} \times 3} = 4\sqrt{3}\] \[\sqrt{n^{9}} = \sqrt{n^{8} \times n} = \sqrt{(n^{4})^{2} \times n} = n ^{4}\sqrt{n}\]

OpenStudy (hoblos):

so what would you get if you combine them ?

OpenStudy (snowcrystal):

\[4n^4 \sqrt{3n}\] right?

OpenStudy (hoblos):

correct

OpenStudy (snowcrystal):

thanks for helping me out

OpenStudy (hoblos):

any time :)

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