Can you... (math question about rational numbers)?

Question

Find a real number that has an unending and nonreapeating decimal expansion, with the property that if you square the number, the decimal expansion of the squared number terminates.

Answer 1

Try √(1/10) = x
This is irrational, since it equals √10/10 and √10
is irrational (10 is not a square). Thus it
has a nonterminating, nonrepeating decimal expansion.
But x² = 1/10, which has a decimal expansion of 0.1 .

Answer 2

I think pi will work.

Answer 3

NO!!!