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Mathematics 7 Online
OpenStudy (mindblast3r):

help!

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):

\[\sqrt{3} * \sqrt{3} = \sqrt{3^{2}}= ?\]

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

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 .

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.

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

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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