perplexus.info :: Just Math : Value Validation

Value Validation (Posted on 2023-01-18)

Without direct evaluation, determine which of these expressions has a greater numerical value:

          2^√10  OR   3²

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Is this indirect enough?

| Comment 1 of 2

The following does not evaluate either of the two values, but shows 3^2 is larger than 2^sqrt(10):

>> sqrt(10)

ans =

3.16227766016838

>> log10(2)*ans

ans =

0.951940430328792

>> log10(3)*2

ans =

0.954242509439325

Posted by Charlie on 2023-01-18 09:54:46

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