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Question

The value of |(9+i)(5+i)(2+3i)(4+5i)| is ___________


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Solution

We know |Z1Z2| = |Z1||Z2|

|(9+i)(5+i)(2+3i)(4+5i)| = |(9+i)(5+i)||(2+3i)(4+5i)|

|Z1.Z2| = |Z1|.|Z2|

= |(9+i)||(5+i)||(2+3i)||(4+5i)|

\(\frac{\sqrt []{82} \sqrt []{26}} {\sqrt []{13} \sqrt []{41}}\) = 2


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