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Mathematics 10 Online
OpenStudy (anonymous):

I will give MEDALS! I just need help! FAST!

OpenStudy (anonymous):

\[\sqrt{3}\left( 4 + \sqrt{12} \right)\] is what it actually looks like.

OpenStudy (anonymous):

(how do I solve this) I don't understand exactly what I need to do here, but I get the concept. I just need steps :/

OpenStudy (anonymous):

find the square root of 12 which is 3.46410161514 so 4 + 3.46410161514 = 7.46 for short then 3 square root =1.73205080757 so 1.73 x 7.46 = 12.9058

OpenStudy (anonymous):

but how youre supposed to write for finding the square root of 12 is \[2\sqrt{3}\] because you have to factor it out, then take a 2 from its pair and leave the remaining 3 inside the square root ... soo yeah, then that leaves me with \[\sqrt{3}\left( 4 + 2 \sqrt{3} \right)\] I dont know what to do after this.

OpenStudy (anonymous):

() = what it was before find √12 which is 3.46410161514 so 4 + 3.46410161514 = 7.46 for short then√3 =1.73205080757 so 1.73 ( √3) x 7.46 (4 + 3.46) = 12.9058

OpenStudy (anonymous):

hold on now i undestand what u said

OpenStudy (anonymous):

My answer options are \[A. \sqrt{12} + 6\] \[B. 4\sqrt{3} + 6\] \[C. 2\sqrt{3} + 6\sqrt{3}\] so thats what I have to solve for.

OpenStudy (anonymous):

where did you get the six from

OpenStudy (anonymous):

is this distributive property?

OpenStudy (nincompoop):

6 * 6

OpenStudy (nincompoop):

why wouldn't it be distributive property?

OpenStudy (anonymous):

i dont know

OpenStudy (nincompoop):

\[\sqrt{3}\times \sqrt{12}=\sqrt[]{36}=duhhh\]

OpenStudy (anonymous):

what about the 4 no Duhh

OpenStudy (anonymous):

/.\ guys...

OpenStudy (anonymous):

so would it be B?? I understand how it could be that

OpenStudy (nincompoop):

\[\sqrt{3}\times4=\sqrt[2]{3 \times 16}=duhhh\]

OpenStudy (anonymous):

B

OpenStudy (anonymous):

but i thought you couldnt multiply a radical by a whole number? @nincompoop

OpenStudy (anonymous):

what about the 4 no Duhh

OpenStudy (anonymous):

B

OpenStudy (anonymous):

how did you type that?

OpenStudy (anonymous):

type what?

OpenStudy (anonymous):

that math stuff

OpenStudy (anonymous):

ooh i see now

OpenStudy (anonymous):

Click equation under the text box where you type

OpenStudy (nincompoop):

\[\sqrt{3}*4 + \sqrt{3}*\sqrt{12}=duhhhh\]

OpenStudy (nincompoop):

\[\sqrt{3}*\sqrt{16}=\sqrt{3}*4\]

OpenStudy (nincompoop):

\[\sqrt{48}+\sqrt{36}=4\sqrt{3}+6\]

OpenStudy (nincompoop):

get it now?

OpenStudy (nincompoop):

you can multiply a radical square root by a whole number if you can convert the whole number into square see how I made the 4 into sqrt(16)

OpenStudy (nincompoop):

although that step was unnecessary, I am just showing you the consistency since we are doing it with sqrt (12) * sqrt (3)

OpenStudy (anonymous):

Lol do I get a medal for figuring it out? /.\

OpenStudy (anonymous):

wow that was a lot \[\sqrt{3}\left( 4 + \sqrt{12} \right)=\sqrt{3}\times 4+\sqrt{12\times 3}=4\sqrt{3}+\sqrt{36}=4\sqrt3+6\]

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