Question

Express √ − 100 - 100 in terms of i i

Answer 1

0+10i

Explanation:

e2020 mwah

Answer 2

The answer would be 10i.

Explanation:

Given expression,

`√(-100)`

`=√(-(10)^2)`

`=√(-1)* √(10^2)`
`(\because √(ab)=√(a)* √(b))`

`=√(-1)* (10^2)^(1)/(2)`
`(\because √(a)=a^(1)/(2))`

`=i* (10)^{2* (1)/(2)}`
`(\because (a^m)^n = a^(mn))`

`=10i`