Question

Which equations are true? Select all that apply. Options:

Square root of -4 = 2i

Square root of -49 = 7i

Square root of -25 equals

square root of -25i

Negative square root of 36 = 6i

Negative square root of 81 = -9

negative square root of 100 = 10i

Answer 1

1;2;5 are the correct statements

Answer 2

Answer: The correct options are,

Square root of -4 = 2i

Square root of -49 = 7i

Explanation:

∵
`√(-4)=√(4(-1)) = √(4i^2)= √((2i)^2)= 2i`

( Since, i² = - 1 )

Similarly,

`√(-49)=√(49(-1)) = √(49i^2)= √((7i)^2)= 7i`

`√(-25)=√(25(-1)) = √(25i^2)= √((5i)^2)= 5i`

Also,

`-√(36)=-√(6^2)=-6`

`-√(81)=-√(9^2) = -9`

`-√(100)=-√(10^2)=-10`