What is the square of the square root of -4?

Answer 1

-4 can be written as 4 x -1, therefore the root can be broken up as

root(-4) = root(4) x root(-1)

If you haven't done maths to this level yet, you may not have seen this, but the Mathematician Gauss introduced the idea of complex numbers and their representation to solve an age-old problem of the square root of negative numbers. He brought in a new notation:

root(-1) = i

(Some engineers like to use j instead of i as i often represents electrical current)

Since root(4) = -2 or 2,

root(-4) = 2i or -2i (written as ±2i)

Answer 2

Original Answer:2 2
The square root of 4 is 2.

Answer 3

The square root of -4 is: 2 i

Answer 4

The square root of 4 is 2

Answer 5

The two square roots are -2 and +2.

Answer 6

2

Answer 7

2

Answer 8

16