Is 30 to the square root rational?

Answer 1

The expression "30 to the square root" is not clearly defined, but if you mean (30^{\sqrt{30}}), then this expression is irrational because it involves raising a rational number (30) to an irrational exponent ((\sqrt{30})). In general, a rational number raised to an irrational power results in an irrational number. Hence, (30^{\sqrt{30}}) is irrational.