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Given 2n−−√=3m, express n in terms of m.

Question

Given 2n−−√=3m, express n in terms of m.

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Solution

Sure, here are the steps to express n in terms of m:

  1. Start with the given equation: 2n - √ = 3m
  2. Add √ to both sides to isolate 2n on one side: 2n = 3m + √
  3. Finally, divide both sides by 2 to solve for n: n = (3m + √) / 2

So, n is expressed in terms of m as n = (3m + √) / 2.

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