Mathematics
8 Online
OpenStudy (anonymous):
someone please help see drawing
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OpenStudy (anonymous):
\[\sqrt{6}(\sqrt{3}+5\sqrt{2})\]
OpenStudy (ivettef365):
use distributive property
OpenStudy (anonymous):
do I square it first?
OpenStudy (ivettef365):
multiply only what is inside the squares, likes sqrt6 x sqrt 3 = sqrt18
then sqrt6 x 5sqrt2 = 5sqrt12
OpenStudy (ivettef365):
now that you have sqrt18 that is sqrt(9x2)
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OpenStudy (anonymous):
\[\sqrt{18}+5\sqrt{12}\] like this?
OpenStudy (ivettef365):
correct
OpenStudy (ivettef365):
now you have sqrt18 which is sqrt(9x2), so what is the sqrt9
OpenStudy (anonymous):
3
OpenStudy (ivettef365):
ok so pull out the 3 and you have 3sqrt2
now do the same with 5sqrt12
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OpenStudy (ivettef365):
that is equal to 5sqrt(4x3)
OpenStudy (anonymous):
2.23 is five squared?
OpenStudy (ivettef365):
just pull out the 2 because sqrt4 = 2 so you have
5(2)sqrt3
OpenStudy (ivettef365):
now the final answer for the problem is
3sqrt2 + 10sqrt3
OpenStudy (anonymous):
can you draw that out?
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OpenStudy (ivettef365):
you draw it and I tell you if is ok
OpenStudy (anonymous):
nvm I got it it is this \[3\sqrt{2}+10\sqrt{3}\]
OpenStudy (ivettef365):
that is correct
OpenStudy (anonymous):
I might have some more questions later do you mind if I tag you?