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# what is the square root of -1

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what is the square root of -1

Guest Apr 16, 2015

#3
+93665
+5

no I do not think so.

by the convention,     $$\sqrt{a\; number}\ge 0$$

for instance

$$\sqrt{25}=+5$$

even though

$$5^2=25\quad and\quad (-5)^2=25$$

Melody  Apr 16, 2015
#1
+93665
+5

$$\sqrt{-1}=i$$

i is NOT a real number it is an imaginary number.  It is the basic unit of the imaginary number system :)

Melody  Apr 16, 2015
#2
0

actually,

the square root of -1 is ±1i

Guest Apr 16, 2015
#3
+93665
+5

no I do not think so.

by the convention,     $$\sqrt{a\; number}\ge 0$$

for instance

$$\sqrt{25}=+5$$

even though

$$5^2=25\quad and\quad (-5)^2=25$$

Melody  Apr 16, 2015