What is the Square Root of √-16?

A lot of us are maybe confused about
What is the Square Root of NEGATIVE 16?
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[@paulchu753]

垃圾中的垃圾

[@inamurrahmansir9471]

Its a simple question if you know imaginary numbers.

[@bobbun9630]

Yes, but exactly what answer is correct will depends on context. The answer given here is 4i, which is a good answer because that is the principle value of the square root function. That said, in any context where you're expected to provide 4 or -4 as the answer to the square root of 16, you should be providing 4i or -4i as the square root of -16, for example if you're asked for the solutions to the equation x^2 = -16. In more advanced mathematics involving complex numbers the square root function is periodic and the best answer may be a formula that describes an infinite family of solutions.

[@andreaboyos8642]

7i.?

[@MathTeacherGon]

good job

[@AndreaSerraIT77]

And now , solve X² + 16 = 0 in C 😊

[@maxpretty2003]

x²+16=0
x²=-16
x=4i

[@AndreaSerraIT77]

​@@maxpretty2003 (4i)² = (-4i)²

[@mathematics2018]

4i

[@MathTeacherGon]

very nice

[@69420guyhaha]

the title said what is the square root of square root of -16 and according to blackpenredpen square root of i is i/(-square root of 2) so it is i*(square root of 2)/4

[@DarianVideoMaker2007]

7i

[@MathTeacherGon]

this is correct

[@dhamakedarvlog114]

7ì

[@MathTeacherGon]

awesome

[@LordOut_001]

Dude literally everyone knows it 4 i because the square root of any negative number is just the square root of the number if it was positive but you but the letter "I" infront of it.

[@vinellech06]

, 7i po....

[@Rose-ff3fi]

+4i and +7i

[@Karan-1888]

Wrong only +7i, - will come from -√-49

[@lukascampidell9376]

If the question was (-16)^0.5 and (-49)^0.5, you would be correct, but when it is written as a square root you only get the positve solutions.

[@Rose-ff3fi]

​@@Karan-1888sorry

[@Rose-ff3fi]

​@@lukascampidell9376sorry

[@sharmainesytc914]

7i

[@eemansuhail]

proud to say i got something in this life right

[@dianeweiss4562]

Sorry, the presenter was wrong and there are perhaps two video.
I watched bumbling errors with sqrt(-16) not sqrt(-49).

[@MathTeacherGon]

wow! Have a nice learning!

[@dianeweiss4562]

-4i is also a solution

[@Elliotmuji]

Absolitely not!🤦🏻‍♂️😂

[@20-hiteshramreddy]

yeah he missed it

[@20-hiteshramreddy]

why not?@@Elliotmuji

[@Elliotmuji]

The minus is gone away with the i

[@Karan-1888]

​@@Elliotmuji😂😂 nope - will come from -√-49, Clear your basics first😂

[@captainjhaydentv028]

7i

[@dianeweiss4562]

Wrong

[@MathTeacherGon]

good going

[@sreymeymey14]

4i

[@MathTeacherGon]

nice one

[@Evx691]

4i