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Mathematics 12 Online
OpenStudy (anonymous):

i dont know how to do this? im posting the problem in the comments its long

OpenStudy (anonymous):

\[6\sqrt[4]{4}-7\sqrt[3]{4}+2\sqrt[3]{4}-3\sqrt[4]{4}\]

OpenStudy (amistre64):

you have 2 factors, call them u and v \[6\sqrt[4]{4}-7\sqrt[3]{4}+2\sqrt[3]{4}-3\sqrt[4]{4}\] \[6u-7v+2u-3v\] and collect like terms

OpenStudy (amistre64):

those radicals are "just a number" and im pretty sure you have no idea what their values are ... so let them be "unknowns" to clean the place up

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

@Euler271 did you delete your post?

OpenStudy (anonymous):

yes. answer was right but the method was pretty bad and lame. wouldn't really teach anybody lol

OpenStudy (anonymous):

@amistre64 can you explain it step by step

OpenStudy (amistre64):

i thought i did. step 1, ignore the messiness step 2 , add like factors step 3 , move on to the next problem

OpenStudy (amistre64):

we cold make it more complicated if need be .... but that usually not the way they want you to go

OpenStudy (anonymous):

@amistre64 i dont remember adding like factors

OpenStudy (amistre64):

3x + 5x = ???

OpenStudy (amistre64):

3(apples) + 5(apples) = ??(apples)

OpenStudy (anonymous):

8x

OpenStudy (anonymous):

i dont get it with square roots and cubed roots and all that

OpenStudy (anonymous):

thats whats confusing me

OpenStudy (amistre64):

the radicals are just "some number". there are 2 difference radicals, so just clean it up by using 2 different letters \[6(\sqrt[4]{4})-7(\sqrt[3]{4})+2(\sqrt[3]{4})-3(\sqrt[4]{4})\] \[6a-7(\sqrt[3]{4})+2(\sqrt[3]{4})-3a\] \[6a-7r+2r-3a\] this hasnt changed the nature of the setup, just the way it looks to be able to see it better

OpenStudy (amistre64):

add up the like factors \[6a-7r+2r-3a\] \[6a-3a-7r+2r\] \[3a-7r+2r\] \[3a-5r\] replace a and r with their respective radicals

OpenStudy (anonymous):

ooh ok i get it now thanks

OpenStudy (amistre64):

youre welcome

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