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Mathematics 16 Online
OpenStudy (anonymous):

im still having trouble with square roots please help!!!!

OpenStudy (ghazi):

where is your question?

OpenStudy (anonymous):

\[\sqrt{-18 \sqrt{-72}}\] but the first square root symbol covers the 18 only, they are seperate

OpenStudy (eyust707):

These are imaginary numbers. Have you learned basic square roots already?

OpenStudy (anonymous):

\[\sqrt{-18}\times \sqrt{-72}\]

OpenStudy (anonymous):

yes and i thought i understood it but i handed in some work and recently got it all wrong

OpenStudy (anonymous):

@satellite73 thats right

OpenStudy (eyust707):

ok so with these squareroots there is something new... they have introduced a - sign under the sign!!

OpenStudy (anonymous):

\[\sqrt{-18}=\sqrt{9}\times \sqrt{2}\times \sqrt{-1}=3\sqrt{2}i\] might be a start

OpenStudy (anonymous):

repeat the process for \(\sqrt{-72}\) and then multiply the results together

OpenStudy (anonymous):

\[ \sqrt{9} \sqrt8 \times \sqrt{-1}\] =3\[\sqrt{8i}\]

OpenStudy (anonymous):

is that the 72 part???

OpenStudy (anonymous):

now quite good enough i am afraid, since \(8=4\times 2\)

OpenStudy (anonymous):

try maybe \(-72=36\times 2\times -1\)

OpenStudy (anonymous):

okay i guess i was thinkin 8*9 i see now

OpenStudy (anonymous):

it is true that \(8\times 9=72\) but you are still left with a perfect square lurking inside of \(8\)

OpenStudy (anonymous):

\[3\sqrt{2i} \times 6\sqrt{2i}\]

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