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Mathematics 19 Online
OpenStudy (anonymous):

3 sqrt 2+7 sqrt 2

OpenStudy (anonymous):

They have the same base, which is the sqrt2. So you can add the 3 and the 7. Leaving you with 10sqrt2. Make sense?

OpenStudy (anonymous):

\[\sqrt[3]{2}+\sqrt[7]{2}\]

OpenStudy (anonymous):

is it that or \[3\sqrt{2}+7\sqrt{2}\] lol big difference

OpenStudy (anonymous):

not really so you mean you add 3 and 7 and

OpenStudy (butterflydreamer):

Think of the square root 2 as x. So 3x + 7x = 10x.

OpenStudy (anonymous):

ok i got it thanks what if the squares were different

OpenStudy (butterflydreamer):

hmm give me an example?

OpenStudy (anonymous):

\[\sqrt[6]{3}+\sqrt[15]{2}\]

OpenStudy (butterflydreamer):

you shouldn't type it like that because it means something completely different to 6 square root 3 + 15 square root 2. But you can't add them together because the bases are different. So for example is square root 3 = y and square root 2 = x You can't add 6y + 15x. Do you get it?

OpenStudy (anonymous):

yes

OpenStudy (butterflydreamer):

Excellent!.

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