Write the number as the product of a real number and i√( - 25) =

Question

Write the number as the product of a real number and i
`√( - 25) =`

Answer 1

first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.

Then, you can write:

`\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i`

because i = √-1.

Hence, the answer is 5i