Answer :
first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.
Then, you can write:
[tex]\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i[/tex]because i = √-1.
Hence, the answer is 5i
first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.
Then, you can write:
[tex]\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i[/tex]because i = √-1.
Hence, the answer is 5i