Question

Correct notation? im lost someone help?

Answer 1

The correct notation for the $\sqrt{-100} -84$ is -84+10i.

Answer: Option B.

Step-by-step explanation:

A square root is the inverse function of exponential function.

Square root of positive numbers either result natural numbers or rational numbers.

But the square root of negative number is not possible. So that an imaginary number system was founded to represent the square root of negative number.

It is represented with i with the result of the solution of the square root.

Here the given problem is  $\sqrt{-100} -84$,

-84 will remain the same and let us convert $\sqrt{-100}$.

$\sqrt{-100}$ can be written as $\sqrt{100}$×$\sqrt{-1}$.

$\sqrt{100}$ = 10

$\sqrt{-1}$ = i.

∴$\sqrt{-100}$ =10i.

The correct notation for the $\sqrt{-100} -84$ is -84+10i