square root of -48

[cattyroughie]

what is the square root of -48

 

[DrMike]

what is the square root of -48

Amongst the real numbers, it has no square root.

Amongst the complex numbers, the answer is $\displaystyle i\sqrt{48}=4\sqrt{3}i$

 

[cattyroughie]

thank you DrMike

 

[DrMike]

You're welcome!

 

[Petenerd]

First, find the square root of 48, which is 6.9282032302755091741097853660235. That is your answer, 6.9282032302755091741097853660235. :wink:

 

[DrMike]

First, find the square root of 48, which is 2.44948974. Then just put the negative sign in front of it making it into a negative number, -2.44948974. :wink:

This is not correct. Eg, your method would give $\displaystyle \sqrt{-4}=-2$, but $\displaystyle (-2)^2=(-2)\times(-2)=+4$, not $\displaystyle -4$