solve for y.\n\n$y^{2}=-36$\n\nwrite your answer in simplified, rationalized form.\n\n$y=\\square$ or…
solve for y.\n\n$y^{2}=-36$\n\nwrite your answer in simplified, rationalized form.\n\n$y=\\square$ or $y=\\square$
Answer
Explanation:
Step1: Take square root on both sides
$$y=\pm\sqrt{-36}$$
Step2: Simplify the square root
Since $\sqrt{-1}=i$, we have $\sqrt{-36}=\sqrt{36\times(-1)}=\sqrt{36}\times\sqrt{-1}=6i$. So $y = 6i$ or $y=-6i$.
Answer:
$y = 6i$ or $y=-6i$