which statement are true

Question

square root -2 = square root 2
square root -2 = square root 2i
square root -8 = 2i square root 2
square root -8 = -2 square oot -2
square root -16 = 4i
square root -16 = -4

Answer 1

The statements that are true are:

- square root -2 = square root 2i
- square root -8 = 2i square root 2

Answer 2

check all to confirm

Answer 3

Let's check all the statements:

1. square root -2 = square root 2
- Taking the square root of a negative number will result in a complex number. So, this statement is false.

2. square root -2 = square root 2i
- The square root of -2 can be written as √(-2) = √2 * i. So, this statement is true.

3. square root -8 = 2i square root 2
- The square root of -8 can be written as √(-8) = 2√2 * i. So, this statement is true.

4. square root -8 = -2 square root -2
- The square root of -8 is not equal to the product of -2 and the square root of -2. So, this statement is false.

5. square root -16 = 4i
- The square root of -16 can be written as √(-16) = 4i. So, this statement is true.

6. square root -16 = -4
- The square root of -16 is not equal to -4. So, this statement is false.

Therefore, the true statements are:

- square root -2 = square root 2i
- square root -8 = 2i square root 2
- square root -16 = 4i