Answer:
5i
Step-by-step explanation:
The requirement is to find the square root of -25.
-25 is a negative number. So its square root will be a complex number.
[tex]\[\sqrt{-25}\] [/tex]
= [tex]\[\sqrt{-1 * 25}\] [/tex]
= [tex]\[\sqrt{-1} * \sqrt{25}\] [/tex]
But [tex]\[\sqrt{-1}\][/tex] is equal to i.
Similarly, [tex]\[\sqrt{25}\][/tex] is equal to 5.
= [tex]\[=> \sqrt{-1} * \sqrt{25}\] [/tex] = = [tex]\[5*i\] [/tex]
