A few days ago
Anonymous

Can you… (math question about rational numbers)?

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.

Top 3 Answers
A few days ago
steiner1745

Favorite Answer

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 .

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A few days ago
SC mom
I think pi will work.
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A few days ago
fivestring46
NO!!!
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