{
  "problem": "Express the radical using the imaginary unit, $i$. Express your answer in simplified form. $\\pm\\sqrt{-14}=\\pm$",
  "hints": [
    "Background The imaginary unit ${i}$ is defined as $\\sqrt{-1}$. So for any negative real number $-a$, we can express $\\sqrt{-a}$ as ${i}\\sqrt{a}$.",
    "Converting the Expression $\\begin{aligned}\\pm\\sqrt{-14}&=\\pm\\sqrt{-1\\cdot14} \\\\\\\\&=\\pm\\sqrt{-1}\\cdot\\sqrt{14} \\\\\\\\&=\\pm{i}\\cdot\\sqrt{14} \\\\\\\\&=\\pm\\sqrt{14}{i}\\end{aligned}$",
    "Summary $\\pm\\sqrt{-14}=\\pm\\sqrt{14}{i}$"
  ]
}
{'source': 'AMPS', 'file': 'amps/khan/simplify-square-roots-of-negative-numbers/16072704022.json'}