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"name": "Divide two numbers in $\\mathbb{Z}[\\sqrt{-2}]$",
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"full_name": "Newcastle University Mathematics and Statistics",
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"description": "<p>In the ring $\\mathbb{Z}[\\sqrt{-2}]$ , find the remainder $r=r_1+r_2\\sqrt{-2}$, where $a \\gt 0,\\;b \\gt 0$ , on dividing $a+b\\sqrt{-2}$ by $c+d\\sqrt{-2}$ .</p>"
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