Question

root 3+root-3 answer these ​

Answer 1

Answer:

$\sqrt{3}+\sqrt{-3}=\sqrt{3}+\sqrt{3}i$

Step-by-step explanation:

$\sqrt{3}+\sqrt{-3}$

$\black{\sqrt{-3}}$

$\sqrt{-3}$

$\gray{\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}}$

$\gray{\sqrt{-3}=\sqrt{-1}\sqrt{3}}$

$=\sqrt{-1}\sqrt{3}$

$\gray{\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i}$

$=\sqrt{3}i$

$=\sqrt{3}+\sqrt{3}i$