Question

PLZ help me fast 2 mins left

Answer 1

`√(-5)=i√(5)`

`√(-25)=5i`

Explanation:

i is an imaginary unit, this means

`i^2=-1`

Rewrite -5 as
`5\cdot (-1)=5\cdot i^2,`

then

`√(-5)=√(5i^2)=√(5)\cdot √(i^2)=√(5)\cdot i=i√(5)`

Rewrite -25 as
`-25=25\cdot (-1)=25\cdot i^2,`

then

`√(-25)=√(25\cdot i^2)=√(25)\cdot √(i^2)=5\cdot i=5i`