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Mathematics 25 Online
OpenStudy (destinyyyy):

Help..

OpenStudy (destinyyyy):

-20+ square root -50/60

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle -20+\sqrt{-\frac{50}{60}~\color{white}{\Huge|}} }\) like this?

OpenStudy (destinyyyy):

the 60 is under the whole equation

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle \frac{-20+\sqrt{-50}}{60} }\)

OpenStudy (solomonzelman):

lihe that \(\Uparrow\) ?

OpenStudy (solomonzelman):

like*

OpenStudy (destinyyyy):

Yes

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle \frac{-20\color{red}{\pm}\sqrt{-50}}{60} }\) It doesn't have that ± sign, right?

OpenStudy (destinyyyy):

Nope just plus

OpenStudy (solomonzelman):

oh. ok

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle \frac{-20+\sqrt{-50}}{60} }\) \(\large\color{black}{ \displaystyle \frac{-20}{60}+\frac{\sqrt{-50}}{60} }\)

OpenStudy (solomonzelman):

so, so far will just say: \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{\sqrt{-50}}{60} }\) and now will deal with the second part with the square root.

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{\sqrt{(-1)\cdot 25\cdot2}}{60} }\) can you simplfiy that?

OpenStudy (destinyyyy):

5i square root 2 / 12

OpenStudy (solomonzelman):

when you take the 25 out of the square root it becomes 5, because: \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{\sqrt{(-1)\cdot 25\cdot2}}{60} }\) \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{\sqrt{(-1)}\cdot\sqrt{ 25}\cdot\sqrt{ 2}}{60} }\) \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{i\cdot\sqrt{ 5^2}\cdot\sqrt{ 2}}{60} }\) \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{5i\sqrt{ 2}}{60} }\)

OpenStudy (solomonzelman):

and then divide by 5. Am I making sense?

OpenStudy (destinyyyy):

Yeah.. So i square root 2 over 12

OpenStudy (solomonzelman):

yes, so altogether: \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{i\sqrt{ 2}}{12} }\)

OpenStudy (solomonzelman):

and if you want it in a+bi form, then \(\large\color{black}{ \displaystyle -\frac{1}{3}+\frac{\sqrt{ 2}}{12}i }\)

OpenStudy (solomonzelman):

which is same..........................................

OpenStudy (destinyyyy):

Yup.. Thank you.

OpenStudy (solomonzelman):

yw

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