square root of -48

cattyroughie said:
what is the square root of -48
Click to expand...

Amongst the real numbers, it has no square root.

Amongst the complex numbers, the answer is \(\displaystyle i\sqrt{48}=4\sqrt{3}i\)
 
First, find the square root of 48, which is 6.9282032302755091741097853660235. That is your answer, 6.9282032302755091741097853660235. :wink:
 
Petenerd said:
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:
Click to expand...

This is not correct. Eg, your method would give \(\displaystyle \sqrt{-4}=-2\), but \(\displaystyle (-2)^2=(-2)\times(-2)=+4\), not \(\displaystyle -4\)
 
You must log in or register to reply here.
Top