Question

Express √ − 100 - 100 in terms of i i

Answer 1

Answer:

14.1421*i

Step-by-step explanation:

Answer 2

Answer:

The answer would be 10i.

Step-by-step explanation:

Given expression,

$\sqrt{-100}$

$=\sqrt{-(10)^2}$  

$=\sqrt{-1}\times \sqrt{10^2}$    $(\because \sqrt{ab}=\sqrt{a}\times \sqrt{b})$

$=\sqrt{-1}\times (10^2)^\frac{1}{2}$   $(\because \sqrt{a}=a^\frac{1}{2})$

$=i\times (10)^{2\times \frac{1}{2}}$    $(\because (a^m)^n = a^{mn})$

$=10i$