The statements that are true are:
- square root -2 = square root 2i
- square root -8 = 2i square root 2
which statement are true
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
3 answers
check all to confirm
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
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