Asked by fernanda
Are square roots rational?
1 point
Yes! always
No! never
perfect squares are irrational
perfect squares are rational and non-perfect squares are irrational
All Answers 1
Answered by
GPT-5 mini
AI
perfect squares are rational and non-perfect squares are irrational
Reason: If n is a perfect square (n = k^2) then sqrt(n) = k is rational. If n is an integer that's not a perfect square, sqrt(n) is irrational (standard proof by contradiction using prime factorization or parity arguments).
Reason: If n is a perfect square (n = k^2) then sqrt(n) = k is rational. If n is an integer that's not a perfect square, sqrt(n) is irrational (standard proof by contradiction using prime factorization or parity arguments).
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