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Mathematics 15 Online
OpenStudy (jabez1777):

http://prntscr.com/de940u Am I correct?

OpenStudy (jabez1777):

@pooja195

OpenStudy (jabez1777):

@Nnesha

Nnesha (nnesha):

for some reason i can't open that link.

OpenStudy (jabez1777):

@Nnesha There :)

Nnesha (nnesha):

thanks

Nnesha (nnesha):

can i see your work? how did you get 41sqrt{3} ?

OpenStudy (jabez1777):

Umm... :/ lol Ehhhhh... Wait. Let me actually try and do the work bleh haha Cuz tbh, the teacher went over this last week with us but I didn't do that hw so she gave it back to me... >.> Can you show me how to do it? :)

Nnesha (nnesha):

first simplify the sqrt{} \[\sqrt{27}\] factor 27 what are the factor of 27 ? (where one number sholuld be the perfect square root)

OpenStudy (jabez1777):

9

Nnesha (nnesha):

9 and 3 \[7 \sqrt{9 \cdot 3}\] which can be written as \[7\cdot \sqrt{9}\cdot \sqrt{ 3}\] take the square root of 9

OpenStudy (jabez1777):

3

Nnesha (nnesha):

\[\sqrt{48}\] same with this what are the factors of 48 ?

OpenStudy (jabez1777):

let me switch laptops real quick brb

Nnesha (nnesha):

yes right \[7 \color{Red}{\sqrt{9}} \cdot \sqrt{3}\]\[7 \cdot \color{Red}{3} \cdot \sqrt{3}\]

OpenStudy (jabez1777):

factors of 48... 6 and 8

Nnesha (nnesha):

correct. but 6 & 8 aren't the perfect square root

OpenStudy (jabez1777):

Hmmmmm... 12 and 4

Nnesha (nnesha):

ok. what are the factors of 12 ???

OpenStudy (jabez1777):

3 and 4

Nnesha (nnesha):

\[5\sqrt {4 \cdot 3 \cdot 4 }\]simplify

OpenStudy (jabez1777):

How? :/ That's basically 5sqroot48 again? :/

OpenStudy (jabez1777):

Oh wait!! i think it's 20 sqroot 12

Nnesha (nnesha):

\[7 \sqrt { 9 \cdot 3} \rightarrow 7 \sqrt{9} \sqrt{3} \rightarrow 7 \cdot 3 \sqrt{3}\]

Nnesha (nnesha):

\[\sqrt{ a \cdot b } \rightarrow \sqrt{a}{ \cdot \sqrt{b}}\]

OpenStudy (jabez1777):

Okay so \[60\sqrt{4}\]

Nnesha (nnesha):

factors of 48 = 12 , 4 factors of 12 = 4, 3 so we can rewrite 12 ,4 as \[5\sqrt {4 \cdot 3 \cdot 4 }\] 4 is perfect square so take the square root of each 4 remember you can rewrite that radical as \[5 \cdot \sqrt{4} \cdot \sqrt{3}\cdot \sqrt{4}\]

OpenStudy (jabez1777):

So 5 x 2 x 3 x 2?

Nnesha (nnesha):

3?

OpenStudy (jabez1777):

\[\[5\times2\times \sqrt{3}\times2\]

Nnesha (nnesha):

yes looks good

OpenStudy (jabez1777):

So then 5 x 2 = 10 then \[10\sqrt{5}\]

Nnesha (nnesha):

\[7 \cdot 3 \color{Red}{\sqrt{3}} + 5 \cdot 2 \cdot 2 \color{Red}{\sqrt{3}}\]

Nnesha (nnesha):

well here is easy way to find the factor whenever you have to simplify radical take the highest perfect square factor

OpenStudy (jabez1777):

\[62\sqrt{3~or~6}\]

Nnesha (nnesha):

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 (Factors of 48) here HIGHEST perfect square root factor is 16 16 times 3 = 48 \[5 \sqrt{16 \cdot 3} \rightarrow 5 \cdot \sqrt{16} \cdot \sqrt{3} \rightarrow 5 \cdot 4 \cdot \sqrt{3}\]

OpenStudy (jabez1777):

Okay got that

Nnesha (nnesha):

so it's 5 times 4 not 2

Nnesha (nnesha):

\[7 \times 3 \sqrt{3}+ 5 \times 4 \sqrt{3}\] multiply the the numbers and then combine like terms

OpenStudy (jabez1777):

41

Nnesha (nnesha):

just 41?

OpenStudy (jabez1777):

\[41\sqrt{3}\]

OpenStudy (irishboy123):

oh yes!!

OpenStudy (jabez1777):

Oh wait.. We're adding the square roots so it's \[41\sqrt{6}\]

Nnesha (nnesha):

\[ \color{blue}{7 \cdot 3}\color{Red}{ \sqrt{3}} + \color{blue}{ 5 \cdot 4}\color{Red}{ \sqrt{3}}\] \[ \color{blue}{21}\color{Red}{ \sqrt{3}} + \color{blue}{ 20}\color{Red}{ \sqrt{3}}\] sqrt{3} is just like variable 2x+2x=4x( just add the coefficient ) \[ \color{blue}({21+20)}\color{Red}{ \sqrt{3}}\]

OpenStudy (jabez1777):

So it is sqrt 3 or 6? :/

Nnesha (nnesha):

no we don't combine the sqrt it would stay the same

OpenStudy (jabez1777):

Okay... Wow these are like very hard! Thank you for helping me. :)

OpenStudy (jabez1777):

So basically we just simplified the square roots and then added the bases?

Nnesha (nnesha):

yeah harder than polar stuff

OpenStudy (irishboy123):

polar stuff is soooo hard :)) |dw:1480635382493:dw|

Nnesha (nnesha):

sorry.. i meant to say *yes sir, it is hard* o^_^o

OpenStudy (irishboy123):

|dw:1480636125941:dw|

Nnesha (nnesha):

-_-

Nnesha (nnesha):

poolar coordinates*

Nnesha (nnesha):

polar equations *

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