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Mathematics 24 Online
OpenStudy (ibbutibbu.):

PLZ HELP!!!

OpenStudy (ibbutibbu.):

OpenStudy (ibbutibbu.):

@aum help

OpenStudy (ibbutibbu.):

@thomaster @phi @myininaya plz help me

OpenStudy (ibbutibbu.):

@jdoe0001 @cwrw238 @Luigi0210 @lacrosseplayer22 help me PLEZ

OpenStudy (aum):

Just distribute and simplify. a * (b + c) = ab + ac

OpenStudy (ibbutibbu.):

but i dont get radicals at all

OpenStudy (anonymous):

the equation doesn't make sense to me. trust me I would help. mail me and ill try

OpenStudy (jdoe0001):

well.. what did you get for \(\bf \sqrt{2}(3\sqrt{2}+\sqrt{18})?\)

OpenStudy (ibbutibbu.):

i dont know

OpenStudy (jdoe0001):

hmm have you covered square root adding yet? and maybe multiplication?

OpenStudy (ibbutibbu.):

yes, but i didnt understand :(

OpenStudy (aum):

If it would help try writing \(\Large \sqrt{2}\) as \(\Large 2^{\frac 12}\)

OpenStudy (jdoe0001):

hmm... say for example... any idea on what \(\bf \sqrt{2}\times \sqrt{2}=?\)

OpenStudy (ibbutibbu.):

\[\sqrt{4} ...?\]

OpenStudy (jdoe0001):

yeap \(\bf \sqrt{2}\times \sqrt{2}=\sqrt{2\cdot 2}\implies \sqrt{4}\implies \sqrt{2^2}\implies 2\)

OpenStudy (ibbutibbu.):

so the answer is 2...?

OpenStudy (jdoe0001):

thus \(\bf \sqrt{2}(3\sqrt{2}+\sqrt{18}) \\ \quad \\ {\color{brown}{ 18\to 2\cdot 3\cdot 3\to 2\cdot 3^2}}\qquad thus \\ \quad \\ \sqrt{2}(3\sqrt{2}+\sqrt{{\color{brown}{ 18}}})\implies \sqrt{2}(3\sqrt{2}+\sqrt{{\color{brown}{ 2\cdot 3^2}}})\implies \sqrt{2}({\color{blue}{ 3}}\sqrt{2}+{\color{blue}{ 3}}\sqrt{ 2}) \\ \quad \\ \sqrt{2}({\color{blue}{ 6}}\sqrt{2})\implies ?\)

OpenStudy (ibbutibbu.):

\[6\sqrt{4}...?\]

OpenStudy (jdoe0001):

yeap which is \(\bf \sqrt{2}({\color{blue}{ 6}}\sqrt{2})\implies 6\sqrt{4}\implies 6\sqrt{2^2}\implies 6\cdot 2\)

OpenStudy (ibbutibbu.):

so 12?

OpenStudy (jdoe0001):

yeap

OpenStudy (ibbutibbu.):

so the answer is 12?

OpenStudy (ibbutibbu.):

so it is rational and equal to 12, which is answer choice C?

OpenStudy (jdoe0001):

yes, notice the factoring of the 18 combines with the other term then the factors left, combine to 12

OpenStudy (ibbutibbu.):

ok thank you

OpenStudy (jdoe0001):

well.. 12 is a rational number yes, that is, you can express it as a "ration" or fraction 12/1

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