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Mathematics 21 Online
OpenStudy (anonymous):

is square root ... see equation

OpenStudy (anonymous):

\[\sqrt{2x+3} = \sqrt{2} +\sqrt{3}\]

OpenStudy (anonymous):

hm that 2nd one is supposed to be root(2x) + root(3)

OpenStudy (anonymous):

are you supposed to solve this for x?

OpenStudy (anonymous):

no, im just asking if the stuff under the square root sign is commutative

OpenStudy (anonymous):

on the left hand side

OpenStudy (anonymous):

\[\sqrt{2x+3}=\sqrt{2x}+\sqrt{x}+\sqrt{3}\] ?

OpenStudy (anonymous):

or \[\sqrt{2x+3}=\sqrt{2x}+\sqrt{3}\]

OpenStudy (anonymous):

true if x = 0. otherwise forget it

OpenStudy (anonymous):

yeah the latest one, is that true?

OpenStudy (anonymous):

heck no

OpenStudy (anonymous):

no. Think of it like this. \[\sqrt{9+16} = \sqrt{25}\] but \[\sqrt{9}=3 and \sqrt{16} = 4\] but 3+4\[\neq 5\] which is what \[\sqrt{25}\] is

OpenStudy (anonymous):

suppose x = 12 then \[\sqrt{2\times 12+3}=\sqrt{25}=5\]

OpenStudy (anonymous):

whereas the right hand side would be \[\sqrt{2\times 12}+\sqrt{3}=\sqrt{24}+\sqrt{3}\]

OpenStudy (anonymous):

which is sure has heck not 25

OpenStudy (anonymous):

ok

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