Mathematics
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OpenStudy (mindblast3r):
help!
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OpenStudy (mindblast3r):
\[4\times \sqrt{3}\times \sqrt{3}\]
OpenStudy (mindblast3r):
is it possible to simplify this?
OpenStudy (anonymous):
yes
OpenStudy (ehsan18):
4 x 3 = 12
3^1/2 x 3^1/2 = 3
OpenStudy (anonymous):
\[\sqrt{3} * \sqrt{3} = \sqrt{3^{2}}= ?\]
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OpenStudy (mindblast3r):
i don't get what you guys are telling me.
OpenStudy (anonymous):
here. \[\sqrt{3}*\sqrt{3}=3^{1/2}*3^{1/2}\]
OpenStudy (mindblast3r):
3.5 * 3.5?
OpenStudy (anonymous):
and do you understand indices
OpenStudy (mindblast3r):
no
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OpenStudy (mindblast3r):
never even heard of that
OpenStudy (anonymous):
\[2^{3}*2^{2}=2^{3}+^{2}\]
OpenStudy (mindblast3r):
oh yeah i know that.
OpenStudy (mindblast3r):
exponent laws
OpenStudy (anonymous):
meaning that when you have same base multiplying each other with different or same power you take one base and sum up the powers .
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OpenStudy (mindblast3r):
ah oh yeah, so 3^1?
OpenStudy (anonymous):
yap. very correct
OpenStudy (mindblast3r):
12 is the answer?
OpenStudy (anonymous):
and we still have 4. so it will be 4*3 =12
OpenStudy (anonymous):
yes.
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OpenStudy (mindblast3r):
but how did you know to put the 1/2 power for the sqrts of 3s?
OpenStudy (anonymous):
because \[\sqrt{x}=x ^{1/2}\]
OpenStudy (anonymous):
its a rule
OpenStudy (mindblast3r):
oh i get it i think
OpenStudy (mindblast3r):
because, x is, x * x
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OpenStudy (anonymous):
so also \[\sqrt[3]{8}=8^{1/3}\]
OpenStudy (mindblast3r):
it's 2 of the same numbers to multiply each other.
OpenStudy (mindblast3r):
o.O, how?
OpenStudy (anonymous):
hmmmmm,... want to be busy now. you can fan and medal so that when am back we continue
OpenStudy (mindblast3r):
ok thanks
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