Q: “i” had to be made up to solve the square root of negative one. But doesn’t something new need to be made up for the square root of i?

Q: “i” had to be made up to solve the square root of negative one. But doesn’t something new need to be made up for the square root of i?

Physicist: The beauty of complex numbers (numbers that involve ) is that the answer to this question is a surprisingly resounding: nopers. You can check this the same way that you can check that 2 is the square root of 4: you square it. And like any other square root, the negative, , is also a solution. So, does have a square root, and it’s not even that hard to find it. So, any cube root, any Nth root, any power, any combination, any whatever of any complex number: still a complex number.

About Us

When you want to outsmart the world, you turn to the facts. And the facts are in the science.

Subscribe to our newsletter!