3 years ago

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

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

False

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

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

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