kitkatyr23 kitkatyr23
  • 14-07-2018
  • Mathematics
contestada

True or false and why: if a and b are irrational, then a^b is irrational

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sqdancefan
sqdancefan sqdancefan
  • 14-07-2018

False


b could be the logarithm of a rational number to the base a. For example,

[tex]b=\log_\pi{(4)}[/tex]   will be irrational, but π^b = 4, a rational number

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