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Can you put a negative sign in a square root sign?

 Sep 11, 2014

Best Answer 

 #3
avatar+5478 
+31

Expanding on Dragonslayer's answer, yes, it is possible to have a negative square root, such as $${\mathtt{\,-\,}}{\sqrt{{\mathtt{4}}}} = -{\mathtt{2}}$$

 

However, the square root of a negative number does not exist in the real number system, so there is this term called $${i}$$  to express $${\sqrt{-{\mathtt{1}}}}$$. Square roots of negative numbers are expressed in terms of $${i}$$ 

 Sep 12, 2014
 #1
avatar+8262 
+3

Like this?

$$-\sqrt$$

Yes. It is possible.

 Sep 12, 2014
 #2
avatar
+8

√-1 = non real number or doesn't exist

 Sep 12, 2014
 #3
avatar+5478 
+31
Best Answer

Expanding on Dragonslayer's answer, yes, it is possible to have a negative square root, such as $${\mathtt{\,-\,}}{\sqrt{{\mathtt{4}}}} = -{\mathtt{2}}$$

 

However, the square root of a negative number does not exist in the real number system, so there is this term called $${i}$$  to express $${\sqrt{-{\mathtt{1}}}}$$. Square roots of negative numbers are expressed in terms of $${i}$$ 

kitty<3 Sep 12, 2014
 #4
avatar+8262 
+5

Yes. Thank you kitty<3. I tried to get to that point, but I didn't know how to explain it.

 Sep 12, 2014

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